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Finding the Fourth Proportional to 66.52, 99.76 and 20.88

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Solution

The fourth proportional to 66.52, 99.76 and 20.88 is: 31.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 99.76 = 20.88 : x
  2. Step 2: Convert to fraction form
    66.52/99.76 = 20.88/x
  3. Step 3: Cross multiply
    66.52x = 99.76 × 20.88
  4. Step 4: Simplify right side
    66.52x = 2,082.99
  5. Step 5: Solve for x
    x = 2,082.99/66.52
  6. Step 6: Final answer
    x = 31.31

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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.