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Finding the Fourth Proportional to 160.80, 221.88 and 102.56

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Solution

The fourth proportional to 160.80, 221.88 and 102.56 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 221.88 = 102.56 : x
  2. Step 2: Convert to fraction form
    160.80/221.88 = 102.56/x
  3. Step 3: Cross multiply
    160.80x = 221.88 × 102.56
  4. Step 4: Simplify right side
    160.80x = 22,756.01
  5. Step 5: Solve for x
    x = 22,756.01/160.80
  6. Step 6: Final answer
    x = 141.52

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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.