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Finding the Fourth Proportional to 160.19, 220.79 and 123.27

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Solution

The fourth proportional to 160.19, 220.79 and 123.27 is: 169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 220.79 = 123.27 : x
  2. Step 2: Convert to fraction form
    160.19/220.79 = 123.27/x
  3. Step 3: Cross multiply
    160.19x = 220.79 × 123.27
  4. Step 4: Simplify right side
    160.19x = 27,216.17
  5. Step 5: Solve for x
    x = 27,216.17/160.19
  6. Step 6: Final answer
    x = 169.90

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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.