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Finding the Fourth Proportional to 24.80, 34.14 and 23

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Solution

The fourth proportional to 24.80, 34.14 and 23 is: 31.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.80 : 34.14 = 23 : x
  2. Step 2: Convert to fraction form
    24.80/34.14 = 23/x
  3. Step 3: Cross multiply
    24.80x = 34.14 × 23
  4. Step 4: Simplify right side
    24.80x = 785.22
  5. Step 5: Solve for x
    x = 785.22/24.80
  6. Step 6: Final answer
    x = 31.66

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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.