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Finding the Fourth Proportional to 160.04, 239.52 and 112.16

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Solution

The fourth proportional to 160.04, 239.52 and 112.16 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 239.52 = 112.16 : x
  2. Step 2: Convert to fraction form
    160.04/239.52 = 112.16/x
  3. Step 3: Cross multiply
    160.04x = 239.52 × 112.16
  4. Step 4: Simplify right side
    160.04x = 26,864.56
  5. Step 5: Solve for x
    x = 26,864.56/160.04
  6. Step 6: Final answer
    x = 167.86

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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.