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Finding the Fourth Proportional to 115.32, 171.87 and 115.14

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Solution

The fourth proportional to 115.32, 171.87 and 115.14 is: 171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.32 : 171.87 = 115.14 : x
  2. Step 2: Convert to fraction form
    115.32/171.87 = 115.14/x
  3. Step 3: Cross multiply
    115.32x = 171.87 × 115.14
  4. Step 4: Simplify right side
    115.32x = 19,789.11
  5. Step 5: Solve for x
    x = 19,789.11/115.32
  6. Step 6: Final answer
    x = 171.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.