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Finding the Fourth Proportional to 159.12, 219.59 and 89.19

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Solution

The fourth proportional to 159.12, 219.59 and 89.19 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.12 : 219.59 = 89.19 : x
  2. Step 2: Convert to fraction form
    159.12/219.59 = 89.19/x
  3. Step 3: Cross multiply
    159.12x = 219.59 × 89.19
  4. Step 4: Simplify right side
    159.12x = 19,584.79
  5. Step 5: Solve for x
    x = 19,584.79/159.12
  6. Step 6: Final answer
    x = 123.08

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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.