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Finding the Fourth Proportional to 159.28, 238.77 and 90.79

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Solution

The fourth proportional to 159.28, 238.77 and 90.79 is: 136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.28 : 238.77 = 90.79 : x
  2. Step 2: Convert to fraction form
    159.28/238.77 = 90.79/x
  3. Step 3: Cross multiply
    159.28x = 238.77 × 90.79
  4. Step 4: Simplify right side
    159.28x = 21,677.93
  5. Step 5: Solve for x
    x = 21,677.93/159.28
  6. Step 6: Final answer
    x = 136.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.