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Finding the Fourth Proportional to 88.11, 132.14 and 27.22

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Solution

The fourth proportional to 88.11, 132.14 and 27.22 is: 40.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.11 : 132.14 = 27.22 : x
  2. Step 2: Convert to fraction form
    88.11/132.14 = 27.22/x
  3. Step 3: Cross multiply
    88.11x = 132.14 × 27.22
  4. Step 4: Simplify right side
    88.11x = 3,596.85
  5. Step 5: Solve for x
    x = 3,596.85/88.11
  6. Step 6: Final answer
    x = 40.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.