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Finding the Fourth Proportional to 160.27, 240.29 and 79.06

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Solution

The fourth proportional to 160.27, 240.29 and 79.06 is: 118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.27 : 240.29 = 79.06 : x
  2. Step 2: Convert to fraction form
    160.27/240.29 = 79.06/x
  3. Step 3: Cross multiply
    160.27x = 240.29 × 79.06
  4. Step 4: Simplify right side
    160.27x = 18,995.73
  5. Step 5: Solve for x
    x = 18,995.73/160.27
  6. Step 6: Final answer
    x = 118.53

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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.