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Finding the Fourth Proportional to 89.92, 135.04 and 84.16

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Solution

The fourth proportional to 89.92, 135.04 and 84.16 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.92 : 135.04 = 84.16 : x
  2. Step 2: Convert to fraction form
    89.92/135.04 = 84.16/x
  3. Step 3: Cross multiply
    89.92x = 135.04 × 84.16
  4. Step 4: Simplify right side
    89.92x = 11,364.97
  5. Step 5: Solve for x
    x = 11,364.97/89.92
  6. Step 6: Final answer
    x = 126.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.