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Finding the Fourth Proportional to 134.45, 185.66 and 112.78

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Solution

The fourth proportional to 134.45, 185.66 and 112.78 is: 155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.45 : 185.66 = 112.78 : x
  2. Step 2: Convert to fraction form
    134.45/185.66 = 112.78/x
  3. Step 3: Cross multiply
    134.45x = 185.66 × 112.78
  4. Step 4: Simplify right side
    134.45x = 20,938.73
  5. Step 5: Solve for x
    x = 20,938.73/134.45
  6. Step 6: Final answer
    x = 155.74

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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.