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Finding the Fourth Proportional to 112.44, 155.06 and 71

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Solution

The fourth proportional to 112.44, 155.06 and 71 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.44 : 155.06 = 71 : x
  2. Step 2: Convert to fraction form
    112.44/155.06 = 71/x
  3. Step 3: Cross multiply
    112.44x = 155.06 × 71
  4. Step 4: Simplify right side
    112.44x = 11,009.26
  5. Step 5: Solve for x
    x = 11,009.26/112.44
  6. Step 6: Final answer
    x = 97.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.