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Finding the Fourth Proportional to 160.64, 221.56 and 102.44

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Solution

The fourth proportional to 160.64, 221.56 and 102.44 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 221.56 = 102.44 : x
  2. Step 2: Convert to fraction form
    160.64/221.56 = 102.44/x
  3. Step 3: Cross multiply
    160.64x = 221.56 × 102.44
  4. Step 4: Simplify right side
    160.64x = 22,696.61
  5. Step 5: Solve for x
    x = 22,696.61/160.64
  6. Step 6: Final answer
    x = 141.29

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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.