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Finding the Fourth Proportional to 159.64, 220.22 and 94.14

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Solution

The fourth proportional to 159.64, 220.22 and 94.14 is: 129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 220.22 = 94.14 : x
  2. Step 2: Convert to fraction form
    159.64/220.22 = 94.14/x
  3. Step 3: Cross multiply
    159.64x = 220.22 × 94.14
  4. Step 4: Simplify right side
    159.64x = 20,731.51
  5. Step 5: Solve for x
    x = 20,731.51/159.64
  6. Step 6: Final answer
    x = 129.86

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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.