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Finding the Fourth Proportional to 61.59, 91.91 and 54.75

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Solution

The fourth proportional to 61.59, 91.91 and 54.75 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.59 : 91.91 = 54.75 : x
  2. Step 2: Convert to fraction form
    61.59/91.91 = 54.75/x
  3. Step 3: Cross multiply
    61.59x = 91.91 × 54.75
  4. Step 4: Simplify right side
    61.59x = 5,032.14
  5. Step 5: Solve for x
    x = 5,032.14/61.59
  6. Step 6: Final answer
    x = 81.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.