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Finding the Fourth Proportional to 160.98, 240.92 and 96.90

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Solution

The fourth proportional to 160.98, 240.92 and 96.90 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.98 : 240.92 = 96.90 : x
  2. Step 2: Convert to fraction form
    160.98/240.92 = 96.90/x
  3. Step 3: Cross multiply
    160.98x = 240.92 × 96.90
  4. Step 4: Simplify right side
    160.98x = 23,345.15
  5. Step 5: Solve for x
    x = 23,345.15/160.98
  6. Step 6: Final answer
    x = 145.02

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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.