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Finding the Fourth Proportional to 160.16, 220.92 and 97.97

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Solution

The fourth proportional to 160.16, 220.92 and 97.97 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 220.92 = 97.97 : x
  2. Step 2: Convert to fraction form
    160.16/220.92 = 97.97/x
  3. Step 3: Cross multiply
    160.16x = 220.92 × 97.97
  4. Step 4: Simplify right side
    160.16x = 21,642.43
  5. Step 5: Solve for x
    x = 21,642.43/160.16
  6. Step 6: Final answer
    x = 135.13

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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.