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Finding the Fourth Proportional to 115.67, 159.49 and 76.36

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Solution

The fourth proportional to 115.67, 159.49 and 76.36 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.67 : 159.49 = 76.36 : x
  2. Step 2: Convert to fraction form
    115.67/159.49 = 76.36/x
  3. Step 3: Cross multiply
    115.67x = 159.49 × 76.36
  4. Step 4: Simplify right side
    115.67x = 12,178.66
  5. Step 5: Solve for x
    x = 12,178.66/115.67
  6. Step 6: Final answer
    x = 105.29

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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.