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Finding the Fourth Proportional to 71.12, 106.52 and 53.12

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Solution

The fourth proportional to 71.12, 106.52 and 53.12 is: 79.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 106.52 = 53.12 : x
  2. Step 2: Convert to fraction form
    71.12/106.52 = 53.12/x
  3. Step 3: Cross multiply
    71.12x = 106.52 × 53.12
  4. Step 4: Simplify right side
    71.12x = 5,658.34
  5. Step 5: Solve for x
    x = 5,658.34/71.12
  6. Step 6: Final answer
    x = 79.56

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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.