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Finding the Fourth Proportional to 160.77, 221.65 and 108.24

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Solution

The fourth proportional to 160.77, 221.65 and 108.24 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.77 : 221.65 = 108.24 : x
  2. Step 2: Convert to fraction form
    160.77/221.65 = 108.24/x
  3. Step 3: Cross multiply
    160.77x = 221.65 × 108.24
  4. Step 4: Simplify right side
    160.77x = 23,990.90
  5. Step 5: Solve for x
    x = 23,990.90/160.77
  6. Step 6: Final answer
    x = 149.23

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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.