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Finding the Fourth Proportional to 158.06, 218.12 and 102.80

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Solution

The fourth proportional to 158.06, 218.12 and 102.80 is: 141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.06 : 218.12 = 102.80 : x
  2. Step 2: Convert to fraction form
    158.06/218.12 = 102.80/x
  3. Step 3: Cross multiply
    158.06x = 218.12 × 102.80
  4. Step 4: Simplify right side
    158.06x = 22,422.74
  5. Step 5: Solve for x
    x = 22,422.74/158.06
  6. Step 6: Final answer
    x = 141.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.