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Finding the Fourth Proportional to 66.72, 100.24 and 52.64

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Solution

The fourth proportional to 66.72, 100.24 and 52.64 is: 79.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.72 : 100.24 = 52.64 : x
  2. Step 2: Convert to fraction form
    66.72/100.24 = 52.64/x
  3. Step 3: Cross multiply
    66.72x = 100.24 × 52.64
  4. Step 4: Simplify right side
    66.72x = 5,276.63
  5. Step 5: Solve for x
    x = 5,276.63/66.72
  6. Step 6: Final answer
    x = 79.09

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