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Finding the Fourth Proportional to 112.44, 155.20 and 71.02

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Solution

The fourth proportional to 112.44, 155.20 and 71.02 is: 98.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.44 : 155.20 = 71.02 : x
  2. Step 2: Convert to fraction form
    112.44/155.20 = 71.02/x
  3. Step 3: Cross multiply
    112.44x = 155.20 × 71.02
  4. Step 4: Simplify right side
    112.44x = 11,022.30
  5. Step 5: Solve for x
    x = 11,022.30/112.44
  6. Step 6: Final answer
    x = 98.03

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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.