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Finding the Fourth Proportional to 115.20, 159.00 and 73.76

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Solution

The fourth proportional to 115.20, 159.00 and 73.76 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.20 : 159.00 = 73.76 : x
  2. Step 2: Convert to fraction form
    115.20/159.00 = 73.76/x
  3. Step 3: Cross multiply
    115.20x = 159.00 × 73.76
  4. Step 4: Simplify right side
    115.20x = 11,727.08
  5. Step 5: Solve for x
    x = 11,727.08/115.20
  6. Step 6: Final answer
    x = 101.80

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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.