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Finding the Fourth Proportional to 160.27, 221.06 and 98.06

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Solution

The fourth proportional to 160.27, 221.06 and 98.06 is: 135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.27 : 221.06 = 98.06 : x
  2. Step 2: Convert to fraction form
    160.27/221.06 = 98.06/x
  3. Step 3: Cross multiply
    160.27x = 221.06 × 98.06
  4. Step 4: Simplify right side
    160.27x = 21,676.28
  5. Step 5: Solve for x
    x = 21,676.28/160.27
  6. Step 6: Final answer
    x = 135.25

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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.