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Finding the Fourth Proportional to 24.78, 37.14 and 9.55

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Solution

The fourth proportional to 24.78, 37.14 and 9.55 is: 14.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 37.14 = 9.55 : x
  2. Step 2: Convert to fraction form
    24.78/37.14 = 9.55/x
  3. Step 3: Cross multiply
    24.78x = 37.14 × 9.55
  4. Step 4: Simplify right side
    24.78x = 354.69
  5. Step 5: Solve for x
    x = 354.69/24.78
  6. Step 6: Final answer
    x = 14.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.