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Finding the Fourth Proportional to 101.20, 151.81 and 32.71

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Solution

The fourth proportional to 101.20, 151.81 and 32.71 is: 49.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 151.81 = 32.71 : x
  2. Step 2: Convert to fraction form
    101.20/151.81 = 32.71/x
  3. Step 3: Cross multiply
    101.20x = 151.81 × 32.71
  4. Step 4: Simplify right side
    101.20x = 4,965.71
  5. Step 5: Solve for x
    x = 4,965.71/101.20
  6. Step 6: Final answer
    x = 49.07

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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.