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Finding the Fourth Proportional to 75.41, 112.39 and 71.27

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Solution

The fourth proportional to 75.41, 112.39 and 71.27 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.41 : 112.39 = 71.27 : x
  2. Step 2: Convert to fraction form
    75.41/112.39 = 71.27/x
  3. Step 3: Cross multiply
    75.41x = 112.39 × 71.27
  4. Step 4: Simplify right side
    75.41x = 8,009.56
  5. Step 5: Solve for x
    x = 8,009.56/75.41
  6. Step 6: Final answer
    x = 106.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.