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Finding the Fourth Proportional to 160.68, 221.34 and 137.29

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Solution

The fourth proportional to 160.68, 221.34 and 137.29 is: 189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 221.34 = 137.29 : x
  2. Step 2: Convert to fraction form
    160.68/221.34 = 137.29/x
  3. Step 3: Cross multiply
    160.68x = 221.34 × 137.29
  4. Step 4: Simplify right side
    160.68x = 30,387.77
  5. Step 5: Solve for x
    x = 30,387.77/160.68
  6. Step 6: Final answer
    x = 189.12

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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.