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Finding the Fourth Proportional to 160.24, 221.08 and 127.44

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Solution

The fourth proportional to 160.24, 221.08 and 127.44 is: 175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 221.08 = 127.44 : x
  2. Step 2: Convert to fraction form
    160.24/221.08 = 127.44/x
  3. Step 3: Cross multiply
    160.24x = 221.08 × 127.44
  4. Step 4: Simplify right side
    160.24x = 28,174.44
  5. Step 5: Solve for x
    x = 28,174.44/160.24
  6. Step 6: Final answer
    x = 175.83

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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.