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Finding the Fourth Proportional to 115.26, 158.84 and 78.34

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Solution

The fourth proportional to 115.26, 158.84 and 78.34 is: 107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.26 : 158.84 = 78.34 : x
  2. Step 2: Convert to fraction form
    115.26/158.84 = 78.34/x
  3. Step 3: Cross multiply
    115.26x = 158.84 × 78.34
  4. Step 4: Simplify right side
    115.26x = 12,443.53
  5. Step 5: Solve for x
    x = 12,443.53/115.26
  6. Step 6: Final answer
    x = 107.96

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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.