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Finding the Fourth Proportional to 159.54, 219.99 and 118.04

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Solution

The fourth proportional to 159.54, 219.99 and 118.04 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 219.99 = 118.04 : x
  2. Step 2: Convert to fraction form
    159.54/219.99 = 118.04/x
  3. Step 3: Cross multiply
    159.54x = 219.99 × 118.04
  4. Step 4: Simplify right side
    159.54x = 25,967.62
  5. Step 5: Solve for x
    x = 25,967.62/159.54
  6. Step 6: Final answer
    x = 162.77

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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.