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Finding the Fourth Proportional to 62.89, 94.32 and 24.38

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Solution

The fourth proportional to 62.89, 94.32 and 24.38 is: 36.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.89 : 94.32 = 24.38 : x
  2. Step 2: Convert to fraction form
    62.89/94.32 = 24.38/x
  3. Step 3: Cross multiply
    62.89x = 94.32 × 24.38
  4. Step 4: Simplify right side
    62.89x = 2,299.93
  5. Step 5: Solve for x
    x = 2,299.93/62.89
  6. Step 6: Final answer
    x = 36.57

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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.