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Finding the Fourth Proportional to 88.50, 120.96 and 84.72

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Solution

The fourth proportional to 88.50, 120.96 and 84.72 is: 115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 120.96 = 84.72 : x
  2. Step 2: Convert to fraction form
    88.50/120.96 = 84.72/x
  3. Step 3: Cross multiply
    88.50x = 120.96 × 84.72
  4. Step 4: Simplify right side
    88.50x = 10,247.73
  5. Step 5: Solve for x
    x = 10,247.73/88.50
  6. Step 6: Final answer
    x = 115.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.