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Finding the Fourth Proportional to 159.24, 219.78 and 110.22

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Solution

The fourth proportional to 159.24, 219.78 and 110.22 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.78 = 110.22 : x
  2. Step 2: Convert to fraction form
    159.24/219.78 = 110.22/x
  3. Step 3: Cross multiply
    159.24x = 219.78 × 110.22
  4. Step 4: Simplify right side
    159.24x = 24,224.15
  5. Step 5: Solve for x
    x = 24,224.15/159.24
  6. Step 6: Final answer
    x = 152.12

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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.