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Finding the Fourth Proportional to 112.74, 155.72 and 83.29

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Solution

The fourth proportional to 112.74, 155.72 and 83.29 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.74 : 155.72 = 83.29 : x
  2. Step 2: Convert to fraction form
    112.74/155.72 = 83.29/x
  3. Step 3: Cross multiply
    112.74x = 155.72 × 83.29
  4. Step 4: Simplify right side
    112.74x = 12,970.13
  5. Step 5: Solve for x
    x = 12,970.13/112.74
  6. Step 6: Final answer
    x = 115.05

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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.