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Finding the Fourth Proportional to 99.78, 137.46 and 81.42

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Solution

The fourth proportional to 99.78, 137.46 and 81.42 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.78 : 137.46 = 81.42 : x
  2. Step 2: Convert to fraction form
    99.78/137.46 = 81.42/x
  3. Step 3: Cross multiply
    99.78x = 137.46 × 81.42
  4. Step 4: Simplify right side
    99.78x = 11,191.99
  5. Step 5: Solve for x
    x = 11,191.99/99.78
  6. Step 6: Final answer
    x = 112.17

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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.