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Finding the Fourth Proportional to 158.05, 217.94 and 102.80

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Solution

The fourth proportional to 158.05, 217.94 and 102.80 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.05 : 217.94 = 102.80 : x
  2. Step 2: Convert to fraction form
    158.05/217.94 = 102.80/x
  3. Step 3: Cross multiply
    158.05x = 217.94 × 102.80
  4. Step 4: Simplify right side
    158.05x = 22,404.26
  5. Step 5: Solve for x
    x = 22,404.26/158.05
  6. Step 6: Final answer
    x = 141.75

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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.