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Finding the Fourth Proportional to 115.80, 159.73 and 76.42

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Solution

The fourth proportional to 115.80, 159.73 and 76.42 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 159.73 = 76.42 : x
  2. Step 2: Convert to fraction form
    115.80/159.73 = 76.42/x
  3. Step 3: Cross multiply
    115.80x = 159.73 × 76.42
  4. Step 4: Simplify right side
    115.80x = 12,206.57
  5. Step 5: Solve for x
    x = 12,206.57/115.80
  6. Step 6: Final answer
    x = 105.41

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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.