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Finding the Fourth Proportional to 151.83, 227.88 and 70.71

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Solution

The fourth proportional to 151.83, 227.88 and 70.71 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 227.88 = 70.71 : x
  2. Step 2: Convert to fraction form
    151.83/227.88 = 70.71/x
  3. Step 3: Cross multiply
    151.83x = 227.88 × 70.71
  4. Step 4: Simplify right side
    151.83x = 16,113.90
  5. Step 5: Solve for x
    x = 16,113.90/151.83
  6. Step 6: Final answer
    x = 106.13

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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.