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Finding the Fourth Proportional to 159.95, 220.77 and 113.24

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Solution

The fourth proportional to 159.95, 220.77 and 113.24 is: 156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.95 : 220.77 = 113.24 : x
  2. Step 2: Convert to fraction form
    159.95/220.77 = 113.24/x
  3. Step 3: Cross multiply
    159.95x = 220.77 × 113.24
  4. Step 4: Simplify right side
    159.95x = 24,998.89
  5. Step 5: Solve for x
    x = 24,998.89/159.95
  6. Step 6: Final answer
    x = 156.30

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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.