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Finding the Fourth Proportional to 159.96, 239.85 and 105.05

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Solution

The fourth proportional to 159.96, 239.85 and 105.05 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 239.85 = 105.05 : x
  2. Step 2: Convert to fraction form
    159.96/239.85 = 105.05/x
  3. Step 3: Cross multiply
    159.96x = 239.85 × 105.05
  4. Step 4: Simplify right side
    159.96x = 25,196.84
  5. Step 5: Solve for x
    x = 25,196.84/159.96
  6. Step 6: Final answer
    x = 157.52

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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.