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Finding the Fourth Proportional to 151.85, 227.81 and 60.57

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Solution

The fourth proportional to 151.85, 227.81 and 60.57 is: 90.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 227.81 = 60.57 : x
  2. Step 2: Convert to fraction form
    151.85/227.81 = 60.57/x
  3. Step 3: Cross multiply
    151.85x = 227.81 × 60.57
  4. Step 4: Simplify right side
    151.85x = 13,798.60
  5. Step 5: Solve for x
    x = 13,798.60/151.85
  6. Step 6: Final answer
    x = 90.87

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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.