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Finding the Fourth Proportional to 159.60, 220.02 and 107.05

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Solution

The fourth proportional to 159.60, 220.02 and 107.05 is: 147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 220.02 = 107.05 : x
  2. Step 2: Convert to fraction form
    159.60/220.02 = 107.05/x
  3. Step 3: Cross multiply
    159.60x = 220.02 × 107.05
  4. Step 4: Simplify right side
    159.60x = 23,553.14
  5. Step 5: Solve for x
    x = 23,553.14/159.60
  6. Step 6: Final answer
    x = 147.58

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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.