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Finding the Fourth Proportional to 114.75, 171.45 and 88.92

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Solution

The fourth proportional to 114.75, 171.45 and 88.92 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 171.45 = 88.92 : x
  2. Step 2: Convert to fraction form
    114.75/171.45 = 88.92/x
  3. Step 3: Cross multiply
    114.75x = 171.45 × 88.92
  4. Step 4: Simplify right side
    114.75x = 15,245.33
  5. Step 5: Solve for x
    x = 15,245.33/114.75
  6. Step 6: Final answer
    x = 132.86

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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.