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Finding the Fourth Proportional to 112.54, 155.24 and 71.01

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Solution

The fourth proportional to 112.54, 155.24 and 71.01 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.54 : 155.24 = 71.01 : x
  2. Step 2: Convert to fraction form
    112.54/155.24 = 71.01/x
  3. Step 3: Cross multiply
    112.54x = 155.24 × 71.01
  4. Step 4: Simplify right side
    112.54x = 11,023.59
  5. Step 5: Solve for x
    x = 11,023.59/112.54
  6. Step 6: Final answer
    x = 97.96

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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.