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Finding the Fourth Proportional to 151.40, 227.02 and 55.20

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Solution

The fourth proportional to 151.40, 227.02 and 55.20 is: 82.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 227.02 = 55.20 : x
  2. Step 2: Convert to fraction form
    151.40/227.02 = 55.20/x
  3. Step 3: Cross multiply
    151.40x = 227.02 × 55.20
  4. Step 4: Simplify right side
    151.40x = 12,531.50
  5. Step 5: Solve for x
    x = 12,531.50/151.40
  6. Step 6: Final answer
    x = 82.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.