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Finding the Fourth Proportional to 112.06, 154.78 and 84.12

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Solution

The fourth proportional to 112.06, 154.78 and 84.12 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.06 : 154.78 = 84.12 : x
  2. Step 2: Convert to fraction form
    112.06/154.78 = 84.12/x
  3. Step 3: Cross multiply
    112.06x = 154.78 × 84.12
  4. Step 4: Simplify right side
    112.06x = 13,020.09
  5. Step 5: Solve for x
    x = 13,020.09/112.06
  6. Step 6: Final answer
    x = 116.19

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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.