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Finding the Fourth Proportional to 159.83, 220.59 and 94.36

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Solution

The fourth proportional to 159.83, 220.59 and 94.36 is: 130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 220.59 = 94.36 : x
  2. Step 2: Convert to fraction form
    159.83/220.59 = 94.36/x
  3. Step 3: Cross multiply
    159.83x = 220.59 × 94.36
  4. Step 4: Simplify right side
    159.83x = 20,813.30
  5. Step 5: Solve for x
    x = 20,813.30/159.83
  6. Step 6: Final answer
    x = 130.22

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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.