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Finding the Fourth Proportional to 159.73, 239.01 and 101.95

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Solution

The fourth proportional to 159.73, 239.01 and 101.95 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.73 : 239.01 = 101.95 : x
  2. Step 2: Convert to fraction form
    159.73/239.01 = 101.95/x
  3. Step 3: Cross multiply
    159.73x = 239.01 × 101.95
  4. Step 4: Simplify right side
    159.73x = 24,367.07
  5. Step 5: Solve for x
    x = 24,367.07/159.73
  6. Step 6: Final answer
    x = 152.55

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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.