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Finding the Fourth Proportional to 115.34, 159.20 and 76

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Solution

The fourth proportional to 115.34, 159.20 and 76 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.34 : 159.20 = 76 : x
  2. Step 2: Convert to fraction form
    115.34/159.20 = 76/x
  3. Step 3: Cross multiply
    115.34x = 159.20 × 76
  4. Step 4: Simplify right side
    115.34x = 12,099.20
  5. Step 5: Solve for x
    x = 12,099.20/115.34
  6. Step 6: Final answer
    x = 104.90

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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.