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Finding the Fourth Proportional to 158.71, 238.01 and 81.65

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Solution

The fourth proportional to 158.71, 238.01 and 81.65 is: 122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.71 : 238.01 = 81.65 : x
  2. Step 2: Convert to fraction form
    158.71/238.01 = 81.65/x
  3. Step 3: Cross multiply
    158.71x = 238.01 × 81.65
  4. Step 4: Simplify right side
    158.71x = 19,433.52
  5. Step 5: Solve for x
    x = 19,433.52/158.71
  6. Step 6: Final answer
    x = 122.45

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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.