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Finding the Fourth Proportional to 115.73, 159.71 and 66.61

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Solution

The fourth proportional to 115.73, 159.71 and 66.61 is: 91.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 159.71 = 66.61 : x
  2. Step 2: Convert to fraction form
    115.73/159.71 = 66.61/x
  3. Step 3: Cross multiply
    115.73x = 159.71 × 66.61
  4. Step 4: Simplify right side
    115.73x = 10,638.28
  5. Step 5: Solve for x
    x = 10,638.28/115.73
  6. Step 6: Final answer
    x = 91.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.