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Finding the Fourth Proportional to 159.75, 220.46 and 101.64

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Solution

The fourth proportional to 159.75, 220.46 and 101.64 is: 140.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 220.46 = 101.64 : x
  2. Step 2: Convert to fraction form
    159.75/220.46 = 101.64/x
  3. Step 3: Cross multiply
    159.75x = 220.46 × 101.64
  4. Step 4: Simplify right side
    159.75x = 22,407.05
  5. Step 5: Solve for x
    x = 22,407.05/159.75
  6. Step 6: Final answer
    x = 140.26

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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.