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Finding the Fourth Proportional to 159.93, 239.90 and 112.23

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Solution

The fourth proportional to 159.93, 239.90 and 112.23 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 239.90 = 112.23 : x
  2. Step 2: Convert to fraction form
    159.93/239.90 = 112.23/x
  3. Step 3: Cross multiply
    159.93x = 239.90 × 112.23
  4. Step 4: Simplify right side
    159.93x = 26,923.42
  5. Step 5: Solve for x
    x = 26,923.42/159.93
  6. Step 6: Final answer
    x = 168.35

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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.