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Finding the Fourth Proportional to 160.40, 221.16 and 105.04

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Solution

The fourth proportional to 160.40, 221.16 and 105.04 is: 144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.40 : 221.16 = 105.04 : x
  2. Step 2: Convert to fraction form
    160.40/221.16 = 105.04/x
  3. Step 3: Cross multiply
    160.40x = 221.16 × 105.04
  4. Step 4: Simplify right side
    160.40x = 23,230.74
  5. Step 5: Solve for x
    x = 23,230.74/160.40
  6. Step 6: Final answer
    x = 144.83

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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.