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Finding the Fourth Proportional to 115.67, 159.50 and 76.37

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Solution

The fourth proportional to 115.67, 159.50 and 76.37 is: 105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.67 : 159.50 = 76.37 : x
  2. Step 2: Convert to fraction form
    115.67/159.50 = 76.37/x
  3. Step 3: Cross multiply
    115.67x = 159.50 × 76.37
  4. Step 4: Simplify right side
    115.67x = 12,179.84
  5. Step 5: Solve for x
    x = 12,179.84/115.67
  6. Step 6: Final answer
    x = 105.30

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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.