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Finding the Fourth Proportional to 159.14, 219.61 and 89.20

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Solution

The fourth proportional to 159.14, 219.61 and 89.20 is: 123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.14 : 219.61 = 89.20 : x
  2. Step 2: Convert to fraction form
    159.14/219.61 = 89.20/x
  3. Step 3: Cross multiply
    159.14x = 219.61 × 89.20
  4. Step 4: Simplify right side
    159.14x = 19,587.67
  5. Step 5: Solve for x
    x = 19,587.67/159.14
  6. Step 6: Final answer
    x = 123.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.