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Finding the Fourth Proportional to 115.28, 171.70 and 114.08

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Solution

The fourth proportional to 115.28, 171.70 and 114.08 is: 169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.28 : 171.70 = 114.08 : x
  2. Step 2: Convert to fraction form
    115.28/171.70 = 114.08/x
  3. Step 3: Cross multiply
    115.28x = 171.70 × 114.08
  4. Step 4: Simplify right side
    115.28x = 19,587.54
  5. Step 5: Solve for x
    x = 19,587.54/115.28
  6. Step 6: Final answer
    x = 169.91

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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.