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Finding the Fourth Proportional to 112.86, 155.74 and 63.72

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Solution

The fourth proportional to 112.86, 155.74 and 63.72 is: 87.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 155.74 = 63.72 : x
  2. Step 2: Convert to fraction form
    112.86/155.74 = 63.72/x
  3. Step 3: Cross multiply
    112.86x = 155.74 × 63.72
  4. Step 4: Simplify right side
    112.86x = 9,923.75
  5. Step 5: Solve for x
    x = 9,923.75/112.86
  6. Step 6: Final answer
    x = 87.93

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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.