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Finding the Fourth Proportional to 158.33, 218.38 and 105.85

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Solution

The fourth proportional to 158.33, 218.38 and 105.85 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.33 : 218.38 = 105.85 : x
  2. Step 2: Convert to fraction form
    158.33/218.38 = 105.85/x
  3. Step 3: Cross multiply
    158.33x = 218.38 × 105.85
  4. Step 4: Simplify right side
    158.33x = 23,113.90
  5. Step 5: Solve for x
    x = 23,113.90/158.33
  6. Step 6: Final answer
    x = 145.99

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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.