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Finding the Fourth Proportional to 115.30, 159.14 and 96.85

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Solution

The fourth proportional to 115.30, 159.14 and 96.85 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 159.14 = 96.85 : x
  2. Step 2: Convert to fraction form
    115.30/159.14 = 96.85/x
  3. Step 3: Cross multiply
    115.30x = 159.14 × 96.85
  4. Step 4: Simplify right side
    115.30x = 15,411.43
  5. Step 5: Solve for x
    x = 15,411.43/115.30
  6. Step 6: Final answer
    x = 133.67

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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.