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Finding the Fourth Proportional to 160.52, 221.58 and 113.96

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Solution

The fourth proportional to 160.52, 221.58 and 113.96 is: 157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 221.58 = 113.96 : x
  2. Step 2: Convert to fraction form
    160.52/221.58 = 113.96/x
  3. Step 3: Cross multiply
    160.52x = 221.58 × 113.96
  4. Step 4: Simplify right side
    160.52x = 25,251.26
  5. Step 5: Solve for x
    x = 25,251.26/160.52
  6. Step 6: Final answer
    x = 157.31

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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.