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Finding the Fourth Proportional to 88.11, 121.44 and 75.78

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Solution

The fourth proportional to 88.11, 121.44 and 75.78 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.11 : 121.44 = 75.78 : x
  2. Step 2: Convert to fraction form
    88.11/121.44 = 75.78/x
  3. Step 3: Cross multiply
    88.11x = 121.44 × 75.78
  4. Step 4: Simplify right side
    88.11x = 9,202.72
  5. Step 5: Solve for x
    x = 9,202.72/88.11
  6. Step 6: Final answer
    x = 104.45

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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.