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Finding the Fourth Proportional to 159.90, 220.80 and 113.37

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Solution

The fourth proportional to 159.90, 220.80 and 113.37 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.90 : 220.80 = 113.37 : x
  2. Step 2: Convert to fraction form
    159.90/220.80 = 113.37/x
  3. Step 3: Cross multiply
    159.90x = 220.80 × 113.37
  4. Step 4: Simplify right side
    159.90x = 25,032.10
  5. Step 5: Solve for x
    x = 25,032.10/159.90
  6. Step 6: Final answer
    x = 156.55

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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.