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Finding the Fourth Proportional to 101.49, 152.20 and 43.71

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Solution

The fourth proportional to 101.49, 152.20 and 43.71 is: 65.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.49 : 152.20 = 43.71 : x
  2. Step 2: Convert to fraction form
    101.49/152.20 = 43.71/x
  3. Step 3: Cross multiply
    101.49x = 152.20 × 43.71
  4. Step 4: Simplify right side
    101.49x = 6,651.90
  5. Step 5: Solve for x
    x = 6,651.90/101.49
  6. Step 6: Final answer
    x = 65.55

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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.