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Finding the Fourth Proportional to 160.27, 221.10 and 98.08

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Solution

The fourth proportional to 160.27, 221.10 and 98.08 is: 135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.27 : 221.10 = 98.08 : x
  2. Step 2: Convert to fraction form
    160.27/221.10 = 98.08/x
  3. Step 3: Cross multiply
    160.27x = 221.10 × 98.08
  4. Step 4: Simplify right side
    160.27x = 21,685.49
  5. Step 5: Solve for x
    x = 21,685.49/160.27
  6. Step 6: Final answer
    x = 135.31

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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.