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Finding the Fourth Proportional to 112.66, 155.48 and 71.22

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Solution

The fourth proportional to 112.66, 155.48 and 71.22 is: 98.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 155.48 = 71.22 : x
  2. Step 2: Convert to fraction form
    112.66/155.48 = 71.22/x
  3. Step 3: Cross multiply
    112.66x = 155.48 × 71.22
  4. Step 4: Simplify right side
    112.66x = 11,073.29
  5. Step 5: Solve for x
    x = 11,073.29/112.66
  6. Step 6: Final answer
    x = 98.29

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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.