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Finding the Fourth Proportional to 160.10, 221.15 and 123.71

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Solution

The fourth proportional to 160.10, 221.15 and 123.71 is: 170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 221.15 = 123.71 : x
  2. Step 2: Convert to fraction form
    160.10/221.15 = 123.71/x
  3. Step 3: Cross multiply
    160.10x = 221.15 × 123.71
  4. Step 4: Simplify right side
    160.10x = 27,356.74
  5. Step 5: Solve for x
    x = 27,356.74/160.10
  6. Step 6: Final answer
    x = 170.88

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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.