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Finding the Fourth Proportional to 158.42, 218.68 and 96.26

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Solution

The fourth proportional to 158.42, 218.68 and 96.26 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.42 : 218.68 = 96.26 : x
  2. Step 2: Convert to fraction form
    158.42/218.68 = 96.26/x
  3. Step 3: Cross multiply
    158.42x = 218.68 × 96.26
  4. Step 4: Simplify right side
    158.42x = 21,048.80
  5. Step 5: Solve for x
    x = 21,048.80/158.42
  6. Step 6: Final answer
    x = 132.86

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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.