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Finding the Fourth Proportional to 158.05, 218.08 and 102.78

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Solution

The fourth proportional to 158.05, 218.08 and 102.78 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.05 : 218.08 = 102.78 : x
  2. Step 2: Convert to fraction form
    158.05/218.08 = 102.78/x
  3. Step 3: Cross multiply
    158.05x = 218.08 × 102.78
  4. Step 4: Simplify right side
    158.05x = 22,414.26
  5. Step 5: Solve for x
    x = 22,414.26/158.05
  6. Step 6: Final answer
    x = 141.82

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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.