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Finding the Fourth Proportional to 88.80, 121.56 and 86.04

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Solution

The fourth proportional to 88.80, 121.56 and 86.04 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 121.56 = 86.04 : x
  2. Step 2: Convert to fraction form
    88.80/121.56 = 86.04/x
  3. Step 3: Cross multiply
    88.80x = 121.56 × 86.04
  4. Step 4: Simplify right side
    88.80x = 10,459.02
  5. Step 5: Solve for x
    x = 10,459.02/88.80
  6. Step 6: Final answer
    x = 117.78

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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.