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Finding the Fourth Proportional to 160.24, 240.28 and 77.96

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Solution

The fourth proportional to 160.24, 240.28 and 77.96 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 240.28 = 77.96 : x
  2. Step 2: Convert to fraction form
    160.24/240.28 = 77.96/x
  3. Step 3: Cross multiply
    160.24x = 240.28 × 77.96
  4. Step 4: Simplify right side
    160.24x = 18,732.23
  5. Step 5: Solve for x
    x = 18,732.23/160.24
  6. Step 6: Final answer
    x = 116.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.