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Finding the Fourth Proportional to 88.12, 121.26 and 82.72

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Solution

The fourth proportional to 88.12, 121.26 and 82.72 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.12 : 121.26 = 82.72 : x
  2. Step 2: Convert to fraction form
    88.12/121.26 = 82.72/x
  3. Step 3: Cross multiply
    88.12x = 121.26 × 82.72
  4. Step 4: Simplify right side
    88.12x = 10,030.63
  5. Step 5: Solve for x
    x = 10,030.63/88.12
  6. Step 6: Final answer
    x = 113.83

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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.