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Finding the Fourth Proportional to 158.14, 218.16 and 102.91

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Solution

The fourth proportional to 158.14, 218.16 and 102.91 is: 141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 218.16 = 102.91 : x
  2. Step 2: Convert to fraction form
    158.14/218.16 = 102.91/x
  3. Step 3: Cross multiply
    158.14x = 218.16 × 102.91
  4. Step 4: Simplify right side
    158.14x = 22,450.33
  5. Step 5: Solve for x
    x = 22,450.33/158.14
  6. Step 6: Final answer
    x = 141.96

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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.