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Finding the Fourth Proportional to 160.80, 221.99 and 123.88

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Solution

The fourth proportional to 160.80, 221.99 and 123.88 is: 171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 221.99 = 123.88 : x
  2. Step 2: Convert to fraction form
    160.80/221.99 = 123.88/x
  3. Step 3: Cross multiply
    160.80x = 221.99 × 123.88
  4. Step 4: Simplify right side
    160.80x = 27,500.12
  5. Step 5: Solve for x
    x = 27,500.12/160.80
  6. Step 6: Final answer
    x = 171.02

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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.