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Finding the Fourth Proportional to 160.14, 221.03 and 93.81

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Solution

The fourth proportional to 160.14, 221.03 and 93.81 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 221.03 = 93.81 : x
  2. Step 2: Convert to fraction form
    160.14/221.03 = 93.81/x
  3. Step 3: Cross multiply
    160.14x = 221.03 × 93.81
  4. Step 4: Simplify right side
    160.14x = 20,733.72
  5. Step 5: Solve for x
    x = 20,733.72/160.14
  6. Step 6: Final answer
    x = 129.48

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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.