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Finding the Fourth Proportional to 66.68, 99.84 and 53.20

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Solution

The fourth proportional to 66.68, 99.84 and 53.20 is: 79.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 99.84 = 53.20 : x
  2. Step 2: Convert to fraction form
    66.68/99.84 = 53.20/x
  3. Step 3: Cross multiply
    66.68x = 99.84 × 53.20
  4. Step 4: Simplify right side
    66.68x = 5,311.49
  5. Step 5: Solve for x
    x = 5,311.49/66.68
  6. Step 6: Final answer
    x = 79.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.