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Finding the Fourth Proportional to 148.86, 205.24 and 96.31

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Solution

The fourth proportional to 148.86, 205.24 and 96.31 is: 132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 205.24 = 96.31 : x
  2. Step 2: Convert to fraction form
    148.86/205.24 = 96.31/x
  3. Step 3: Cross multiply
    148.86x = 205.24 × 96.31
  4. Step 4: Simplify right side
    148.86x = 19,766.18
  5. Step 5: Solve for x
    x = 19,766.18/148.86
  6. Step 6: Final answer
    x = 132.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.