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Finding the Fourth Proportional to 160.88, 221.96 and 102.56

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Solution

The fourth proportional to 160.88, 221.96 and 102.56 is: 141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 221.96 = 102.56 : x
  2. Step 2: Convert to fraction form
    160.88/221.96 = 102.56/x
  3. Step 3: Cross multiply
    160.88x = 221.96 × 102.56
  4. Step 4: Simplify right side
    160.88x = 22,763.70
  5. Step 5: Solve for x
    x = 22,763.70/160.88
  6. Step 6: Final answer
    x = 141.49

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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.