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Finding the Fourth Proportional to 160.39, 221.12 and 105.04

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Solution

The fourth proportional to 160.39, 221.12 and 105.04 is: 144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.39 : 221.12 = 105.04 : x
  2. Step 2: Convert to fraction form
    160.39/221.12 = 105.04/x
  3. Step 3: Cross multiply
    160.39x = 221.12 × 105.04
  4. Step 4: Simplify right side
    160.39x = 23,224.81
  5. Step 5: Solve for x
    x = 23,224.81/160.39
  6. Step 6: Final answer
    x = 144.81

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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.