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Finding the Fourth Proportional to 66.52, 91.61 and 65.18

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Solution

The fourth proportional to 66.52, 91.61 and 65.18 is: 89.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 91.61 = 65.18 : x
  2. Step 2: Convert to fraction form
    66.52/91.61 = 65.18/x
  3. Step 3: Cross multiply
    66.52x = 91.61 × 65.18
  4. Step 4: Simplify right side
    66.52x = 5,971.29
  5. Step 5: Solve for x
    x = 5,971.29/66.52
  6. Step 6: Final answer
    x = 89.77

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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.