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Finding the Fourth Proportional to 88.97, 122.56 and 75.82

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Solution

The fourth proportional to 88.97, 122.56 and 75.82 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.97 : 122.56 = 75.82 : x
  2. Step 2: Convert to fraction form
    88.97/122.56 = 75.82/x
  3. Step 3: Cross multiply
    88.97x = 122.56 × 75.82
  4. Step 4: Simplify right side
    88.97x = 9,292.66
  5. Step 5: Solve for x
    x = 9,292.66/88.97
  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.