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Finding the Fourth Proportional to 160.76, 240.82 and 96.52

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Solution

The fourth proportional to 160.76, 240.82 and 96.52 is: 144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.76 : 240.82 = 96.52 : x
  2. Step 2: Convert to fraction form
    160.76/240.82 = 96.52/x
  3. Step 3: Cross multiply
    160.76x = 240.82 × 96.52
  4. Step 4: Simplify right side
    160.76x = 23,243.95
  5. Step 5: Solve for x
    x = 23,243.95/160.76
  6. Step 6: Final answer
    x = 144.59

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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.