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Finding the Fourth Proportional to 159.21, 238.78 and 72.49

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Solution

The fourth proportional to 159.21, 238.78 and 72.49 is: 108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 238.78 = 72.49 : x
  2. Step 2: Convert to fraction form
    159.21/238.78 = 72.49/x
  3. Step 3: Cross multiply
    159.21x = 238.78 × 72.49
  4. Step 4: Simplify right side
    159.21x = 17,309.16
  5. Step 5: Solve for x
    x = 17,309.16/159.21
  6. Step 6: Final answer
    x = 108.72

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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.