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Finding the Fourth Proportional to 112.12, 154.79 and 81.00

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Solution

The fourth proportional to 112.12, 154.79 and 81.00 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 154.79 = 81.00 : x
  2. Step 2: Convert to fraction form
    112.12/154.79 = 81.00/x
  3. Step 3: Cross multiply
    112.12x = 154.79 × 81.00
  4. Step 4: Simplify right side
    112.12x = 12,537.20
  5. Step 5: Solve for x
    x = 12,537.20/112.12
  6. Step 6: Final answer
    x = 111.82

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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.