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Finding the Fourth Proportional to 88.07, 120.88 and 84.31

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Solution

The fourth proportional to 88.07, 120.88 and 84.31 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.07 : 120.88 = 84.31 : x
  2. Step 2: Convert to fraction form
    88.07/120.88 = 84.31/x
  3. Step 3: Cross multiply
    88.07x = 120.88 × 84.31
  4. Step 4: Simplify right side
    88.07x = 10,190.83
  5. Step 5: Solve for x
    x = 10,190.83/88.07
  6. Step 6: Final answer
    x = 115.72

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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.