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Finding the Fourth Proportional to 158.03, 218.02 and 105.59

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Solution

The fourth proportional to 158.03, 218.02 and 105.59 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.03 : 218.02 = 105.59 : x
  2. Step 2: Convert to fraction form
    158.03/218.02 = 105.59/x
  3. Step 3: Cross multiply
    158.03x = 218.02 × 105.59
  4. Step 4: Simplify right side
    158.03x = 23,020.73
  5. Step 5: Solve for x
    x = 23,020.73/158.03
  6. Step 6: Final answer
    x = 145.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.