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Finding the Fourth Proportional to 151.20, 226.72 and 97.04

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Solution

The fourth proportional to 151.20, 226.72 and 97.04 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 226.72 = 97.04 : x
  2. Step 2: Convert to fraction form
    151.20/226.72 = 97.04/x
  3. Step 3: Cross multiply
    151.20x = 226.72 × 97.04
  4. Step 4: Simplify right side
    151.20x = 22,000.91
  5. Step 5: Solve for x
    x = 22,000.91/151.20
  6. Step 6: Final answer
    x = 145.51

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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.