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Finding the Fourth Proportional to 159.02, 238.41 and 77.81

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Solution

The fourth proportional to 159.02, 238.41 and 77.81 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.02 : 238.41 = 77.81 : x
  2. Step 2: Convert to fraction form
    159.02/238.41 = 77.81/x
  3. Step 3: Cross multiply
    159.02x = 238.41 × 77.81
  4. Step 4: Simplify right side
    159.02x = 18,549.49
  5. Step 5: Solve for x
    x = 18,549.49/159.02
  6. Step 6: Final answer
    x = 116.65

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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.