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Finding the Fourth Proportional to 101.80, 140.52 and 77.24

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Solution

The fourth proportional to 101.80, 140.52 and 77.24 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.80 : 140.52 = 77.24 : x
  2. Step 2: Convert to fraction form
    101.80/140.52 = 77.24/x
  3. Step 3: Cross multiply
    101.80x = 140.52 × 77.24
  4. Step 4: Simplify right side
    101.80x = 10,853.76
  5. Step 5: Solve for x
    x = 10,853.76/101.80
  6. Step 6: Final answer
    x = 106.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.