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Finding the Fourth Proportional to 80.34, 120.32 and 39.71

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Solution

The fourth proportional to 80.34, 120.32 and 39.71 is: 59.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 120.32 = 39.71 : x
  2. Step 2: Convert to fraction form
    80.34/120.32 = 39.71/x
  3. Step 3: Cross multiply
    80.34x = 120.32 × 39.71
  4. Step 4: Simplify right side
    80.34x = 4,777.11
  5. Step 5: Solve for x
    x = 4,777.11/80.34
  6. Step 6: Final answer
    x = 59.46

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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.