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Finding the Fourth Proportional to 80.47, 120.72 and 32.38

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Solution

The fourth proportional to 80.47, 120.72 and 32.38 is: 48.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.47 : 120.72 = 32.38 : x
  2. Step 2: Convert to fraction form
    80.47/120.72 = 32.38/x
  3. Step 3: Cross multiply
    80.47x = 120.72 × 32.38
  4. Step 4: Simplify right side
    80.47x = 3,908.91
  5. Step 5: Solve for x
    x = 3,908.91/80.47
  6. Step 6: Final answer
    x = 48.58

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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.