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Finding the Fourth Proportional to 66.52, 99.27 and 64.76

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Solution

The fourth proportional to 66.52, 99.27 and 64.76 is: 96.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 99.27 = 64.76 : x
  2. Step 2: Convert to fraction form
    66.52/99.27 = 64.76/x
  3. Step 3: Cross multiply
    66.52x = 99.27 × 64.76
  4. Step 4: Simplify right side
    66.52x = 6,428.73
  5. Step 5: Solve for x
    x = 6,428.73/66.52
  6. Step 6: Final answer
    x = 96.64

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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.