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Finding the Fourth Proportional to 159.25, 239.01 and 68.01

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Solution

The fourth proportional to 159.25, 239.01 and 68.01 is: 102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.25 : 239.01 = 68.01 : x
  2. Step 2: Convert to fraction form
    159.25/239.01 = 68.01/x
  3. Step 3: Cross multiply
    159.25x = 239.01 × 68.01
  4. Step 4: Simplify right side
    159.25x = 16,255.07
  5. Step 5: Solve for x
    x = 16,255.07/159.25
  6. Step 6: Final answer
    x = 102.07

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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.