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Finding the Fourth Proportional to 24.75, 34.16 and 15.06

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Solution

The fourth proportional to 24.75, 34.16 and 15.06 is: 20.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.16 = 15.06 : x
  2. Step 2: Convert to fraction form
    24.75/34.16 = 15.06/x
  3. Step 3: Cross multiply
    24.75x = 34.16 × 15.06
  4. Step 4: Simplify right side
    24.75x = 514.37
  5. Step 5: Solve for x
    x = 514.37/24.75
  6. Step 6: Final answer
    x = 20.78

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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.