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Finding the Fourth Proportional to 151.74, 227.56 and 65.10

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Solution

The fourth proportional to 151.74, 227.56 and 65.10 is: 97.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 227.56 = 65.10 : x
  2. Step 2: Convert to fraction form
    151.74/227.56 = 65.10/x
  3. Step 3: Cross multiply
    151.74x = 227.56 × 65.10
  4. Step 4: Simplify right side
    151.74x = 14,814.16
  5. Step 5: Solve for x
    x = 14,814.16/151.74
  6. Step 6: Final answer
    x = 97.63

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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.