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Finding the Fourth Proportional to 112.16, 154.57 and 84.11

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Solution

The fourth proportional to 112.16, 154.57 and 84.11 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.16 : 154.57 = 84.11 : x
  2. Step 2: Convert to fraction form
    112.16/154.57 = 84.11/x
  3. Step 3: Cross multiply
    112.16x = 154.57 × 84.11
  4. Step 4: Simplify right side
    112.16x = 13,000.56
  5. Step 5: Solve for x
    x = 13,000.56/112.16
  6. Step 6: Final answer
    x = 115.91

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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.