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Finding the Fourth Proportional to 89.97, 124.08 and 83.26

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Solution

The fourth proportional to 89.97, 124.08 and 83.26 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.97 : 124.08 = 83.26 : x
  2. Step 2: Convert to fraction form
    89.97/124.08 = 83.26/x
  3. Step 3: Cross multiply
    89.97x = 124.08 × 83.26
  4. Step 4: Simplify right side
    89.97x = 10,330.71
  5. Step 5: Solve for x
    x = 10,330.71/89.97
  6. Step 6: Final answer
    x = 114.82

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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.