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Finding the Fourth Proportional to 171.24, 235.98 and 112.92

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Solution

The fourth proportional to 171.24, 235.98 and 112.92 is: 155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 235.98 = 112.92 : x
  2. Step 2: Convert to fraction form
    171.24/235.98 = 112.92/x
  3. Step 3: Cross multiply
    171.24x = 235.98 × 112.92
  4. Step 4: Simplify right side
    171.24x = 26,646.86
  5. Step 5: Solve for x
    x = 26,646.86/171.24
  6. Step 6: Final answer
    x = 155.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.