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Finding the Fourth Proportional to 159.80, 220.64 and 101.76

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Solution

The fourth proportional to 159.80, 220.64 and 101.76 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 220.64 = 101.76 : x
  2. Step 2: Convert to fraction form
    159.80/220.64 = 101.76/x
  3. Step 3: Cross multiply
    159.80x = 220.64 × 101.76
  4. Step 4: Simplify right side
    159.80x = 22,452.33
  5. Step 5: Solve for x
    x = 22,452.33/159.80
  6. Step 6: Final answer
    x = 140.50

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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.