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Finding the Fourth Proportional to 160.45, 221.42 and 91.45

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Solution

The fourth proportional to 160.45, 221.42 and 91.45 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.45 : 221.42 = 91.45 : x
  2. Step 2: Convert to fraction form
    160.45/221.42 = 91.45/x
  3. Step 3: Cross multiply
    160.45x = 221.42 × 91.45
  4. Step 4: Simplify right side
    160.45x = 20,247.29
  5. Step 5: Solve for x
    x = 20,247.29/160.45
  6. Step 6: Final answer
    x = 126.19

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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.