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Finding the Fourth Proportional to 160.47, 221.24 and 105.12

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Solution

The fourth proportional to 160.47, 221.24 and 105.12 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 221.24 = 105.12 : x
  2. Step 2: Convert to fraction form
    160.47/221.24 = 105.12/x
  3. Step 3: Cross multiply
    160.47x = 221.24 × 105.12
  4. Step 4: Simplify right side
    160.47x = 23,257.01
  5. Step 5: Solve for x
    x = 23,257.01/160.47
  6. Step 6: Final answer
    x = 144.93

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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.