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Finding the Fourth Proportional to 61.29, 92.01 and 39.63

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Solution

The fourth proportional to 61.29, 92.01 and 39.63 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.29 : 92.01 = 39.63 : x
  2. Step 2: Convert to fraction form
    61.29/92.01 = 39.63/x
  3. Step 3: Cross multiply
    61.29x = 92.01 × 39.63
  4. Step 4: Simplify right side
    61.29x = 3,646.36
  5. Step 5: Solve for x
    x = 3,646.36/61.29
  6. Step 6: Final answer
    x = 59.49

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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.