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Finding the Fourth Proportional to 159.02, 219.63 and 119.85

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Solution

The fourth proportional to 159.02, 219.63 and 119.85 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.02 : 219.63 = 119.85 : x
  2. Step 2: Convert to fraction form
    159.02/219.63 = 119.85/x
  3. Step 3: Cross multiply
    159.02x = 219.63 × 119.85
  4. Step 4: Simplify right side
    159.02x = 26,323.10
  5. Step 5: Solve for x
    x = 26,323.10/159.02
  6. Step 6: Final answer
    x = 165.53

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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.