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Finding the Fourth Proportional to 80.16, 120 and 71.12

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Solution

The fourth proportional to 80.16, 120 and 71.12 is: 106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 120 = 71.12 : x
  2. Step 2: Convert to fraction form
    80.16/120 = 71.12/x
  3. Step 3: Cross multiply
    80.16x = 120 × 71.12
  4. Step 4: Simplify right side
    80.16x = 8,534.40
  5. Step 5: Solve for x
    x = 8,534.40/80.16
  6. Step 6: Final answer
    x = 106.47

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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.