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Finding the Fourth Proportional to 160.10, 220.89 and 93.69

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Solution

The fourth proportional to 160.10, 220.89 and 93.69 is: 129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 220.89 = 93.69 : x
  2. Step 2: Convert to fraction form
    160.10/220.89 = 93.69/x
  3. Step 3: Cross multiply
    160.10x = 220.89 × 93.69
  4. Step 4: Simplify right side
    160.10x = 20,695.18
  5. Step 5: Solve for x
    x = 20,695.18/160.10
  6. Step 6: Final answer
    x = 129.27

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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.