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Finding the Fourth Proportional to 24.77, 34.16 and 20.11

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Solution

The fourth proportional to 24.77, 34.16 and 20.11 is: 27.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 34.16 = 20.11 : x
  2. Step 2: Convert to fraction form
    24.77/34.16 = 20.11/x
  3. Step 3: Cross multiply
    24.77x = 34.16 × 20.11
  4. Step 4: Simplify right side
    24.77x = 686.93
  5. Step 5: Solve for x
    x = 686.93/24.77
  6. Step 6: Final answer
    x = 27.73

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Find fourth proportional to 12.38, 17.08 and 10.06
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.