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Finding the Fourth Proportional to 159.42, 239.23 and 91.07

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Solution

The fourth proportional to 159.42, 239.23 and 91.07 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 239.23 = 91.07 : x
  2. Step 2: Convert to fraction form
    159.42/239.23 = 91.07/x
  3. Step 3: Cross multiply
    159.42x = 239.23 × 91.07
  4. Step 4: Simplify right side
    159.42x = 21,787.05
  5. Step 5: Solve for x
    x = 21,787.05/159.42
  6. Step 6: Final answer
    x = 136.66

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Why These Related Problems?

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