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Finding the Fourth Proportional to 158.45, 218.73 and 106.08

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Solution

The fourth proportional to 158.45, 218.73 and 106.08 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.45 : 218.73 = 106.08 : x
  2. Step 2: Convert to fraction form
    158.45/218.73 = 106.08/x
  3. Step 3: Cross multiply
    158.45x = 218.73 × 106.08
  4. Step 4: Simplify right side
    158.45x = 23,202.88
  5. Step 5: Solve for x
    x = 23,202.88/158.45
  6. Step 6: Final answer
    x = 146.44

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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.