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Finding the Fourth Proportional to 115.78, 159.75 and 76.96

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Solution

The fourth proportional to 115.78, 159.75 and 76.96 is: 106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 159.75 = 76.96 : x
  2. Step 2: Convert to fraction form
    115.78/159.75 = 76.96/x
  3. Step 3: Cross multiply
    115.78x = 159.75 × 76.96
  4. Step 4: Simplify right side
    115.78x = 12,294.36
  5. Step 5: Solve for x
    x = 12,294.36/115.78
  6. Step 6: Final answer
    x = 106.19

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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.