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Finding the Fourth Proportional to 61.54, 92.38 and 39.81

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Solution

The fourth proportional to 61.54, 92.38 and 39.81 is: 59.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.54 : 92.38 = 39.81 : x
  2. Step 2: Convert to fraction form
    61.54/92.38 = 39.81/x
  3. Step 3: Cross multiply
    61.54x = 92.38 × 39.81
  4. Step 4: Simplify right side
    61.54x = 3,677.55
  5. Step 5: Solve for x
    x = 3,677.55/61.54
  6. Step 6: Final answer
    x = 59.76

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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.