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Finding the Fourth Proportional to 66.13, 91.32 and 65.68

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Solution

The fourth proportional to 66.13, 91.32 and 65.68 is: 90.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.13 : 91.32 = 65.68 : x
  2. Step 2: Convert to fraction form
    66.13/91.32 = 65.68/x
  3. Step 3: Cross multiply
    66.13x = 91.32 × 65.68
  4. Step 4: Simplify right side
    66.13x = 5,997.90
  5. Step 5: Solve for x
    x = 5,997.90/66.13
  6. Step 6: Final answer
    x = 90.70

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Why These Related Problems?

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