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Finding the Fourth Proportional to 80.16, 119.70 and 71.04

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Solution

The fourth proportional to 80.16, 119.70 and 71.04 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 119.70 = 71.04 : x
  2. Step 2: Convert to fraction form
    80.16/119.70 = 71.04/x
  3. Step 3: Cross multiply
    80.16x = 119.70 × 71.04
  4. Step 4: Simplify right side
    80.16x = 8,503.49
  5. Step 5: Solve for x
    x = 8,503.49/80.16
  6. Step 6: Final answer
    x = 106.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.