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Finding the Fourth Proportional to 66.84, 99.72 and 64.88

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Solution

The fourth proportional to 66.84, 99.72 and 64.88 is: 96.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 99.72 = 64.88 : x
  2. Step 2: Convert to fraction form
    66.84/99.72 = 64.88/x
  3. Step 3: Cross multiply
    66.84x = 99.72 × 64.88
  4. Step 4: Simplify right side
    66.84x = 6,469.83
  5. Step 5: Solve for x
    x = 6,469.83/66.84
  6. Step 6: Final answer
    x = 96.80

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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.