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Finding the Fourth Proportional to 160.52, 221.46 and 105.29

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Solution

The fourth proportional to 160.52, 221.46 and 105.29 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 221.46 = 105.29 : x
  2. Step 2: Convert to fraction form
    160.52/221.46 = 105.29/x
  3. Step 3: Cross multiply
    160.52x = 221.46 × 105.29
  4. Step 4: Simplify right side
    160.52x = 23,316.85
  5. Step 5: Solve for x
    x = 23,316.85/160.52
  6. Step 6: Final answer
    x = 145.26

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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.