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Finding the Fourth Proportional to 151.43, 227.05 and 64.82

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Solution

The fourth proportional to 151.43, 227.05 and 64.82 is: 97.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.43 : 227.05 = 64.82 : x
  2. Step 2: Convert to fraction form
    151.43/227.05 = 64.82/x
  3. Step 3: Cross multiply
    151.43x = 227.05 × 64.82
  4. Step 4: Simplify right side
    151.43x = 14,717.79
  5. Step 5: Solve for x
    x = 14,717.79/151.43
  6. Step 6: Final answer
    x = 97.20

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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.