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Finding the Fourth Proportional to 160.16, 221.01 and 97.97

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Solution

The fourth proportional to 160.16, 221.01 and 97.97 is: 135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221.01 = 97.97 : x
  2. Step 2: Convert to fraction form
    160.16/221.01 = 97.97/x
  3. Step 3: Cross multiply
    160.16x = 221.01 × 97.97
  4. Step 4: Simplify right side
    160.16x = 21,652.35
  5. Step 5: Solve for x
    x = 21,652.35/160.16
  6. Step 6: Final answer
    x = 135.19

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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.