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Finding the Fourth Proportional to 154.25, 212.78 and 112.74

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Solution

The fourth proportional to 154.25, 212.78 and 112.74 is: 155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 212.78 = 112.74 : x
  2. Step 2: Convert to fraction form
    154.25/212.78 = 112.74/x
  3. Step 3: Cross multiply
    154.25x = 212.78 × 112.74
  4. Step 4: Simplify right side
    154.25x = 23,988.25
  5. Step 5: Solve for x
    x = 23,988.25/154.25
  6. Step 6: Final answer
    x = 155.52

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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.