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Finding the Fourth Proportional to 171.89, 237.28 and 106.48

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Solution

The fourth proportional to 171.89, 237.28 and 106.48 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.89 : 237.28 = 106.48 : x
  2. Step 2: Convert to fraction form
    171.89/237.28 = 106.48/x
  3. Step 3: Cross multiply
    171.89x = 237.28 × 106.48
  4. Step 4: Simplify right side
    171.89x = 25,265.80
  5. Step 5: Solve for x
    x = 25,265.80/171.89
  6. Step 6: Final answer
    x = 146.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.