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Finding the Fourth Proportional to 160.31, 221.20 and 90.37

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Solution

The fourth proportional to 160.31, 221.20 and 90.37 is: 124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 221.20 = 90.37 : x
  2. Step 2: Convert to fraction form
    160.31/221.20 = 90.37/x
  3. Step 3: Cross multiply
    160.31x = 221.20 × 90.37
  4. Step 4: Simplify right side
    160.31x = 19,988.85
  5. Step 5: Solve for x
    x = 19,988.85/160.31
  6. Step 6: Final answer
    x = 124.69

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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.