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Finding the Fourth Proportional to 66.57, 99.28 and 64.95

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Solution

The fourth proportional to 66.57, 99.28 and 64.95 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.57 : 99.28 = 64.95 : x
  2. Step 2: Convert to fraction form
    66.57/99.28 = 64.95/x
  3. Step 3: Cross multiply
    66.57x = 99.28 × 64.95
  4. Step 4: Simplify right side
    66.57x = 6,448.24
  5. Step 5: Solve for x
    x = 6,448.24/66.57
  6. Step 6: Final answer
    x = 96.86

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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.