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Finding the Fourth Proportional to 158.23, 218.37 and 105.68

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Solution

The fourth proportional to 158.23, 218.37 and 105.68 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.23 : 218.37 = 105.68 : x
  2. Step 2: Convert to fraction form
    158.23/218.37 = 105.68/x
  3. Step 3: Cross multiply
    158.23x = 218.37 × 105.68
  4. Step 4: Simplify right side
    158.23x = 23,077.34
  5. Step 5: Solve for x
    x = 23,077.34/158.23
  6. Step 6: Final answer
    x = 145.85

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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.