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Finding the Fourth Proportional to 158.82, 219.23 and 109.06

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Solution

The fourth proportional to 158.82, 219.23 and 109.06 is: 150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 219.23 = 109.06 : x
  2. Step 2: Convert to fraction form
    158.82/219.23 = 109.06/x
  3. Step 3: Cross multiply
    158.82x = 219.23 × 109.06
  4. Step 4: Simplify right side
    158.82x = 23,907.58
  5. Step 5: Solve for x
    x = 23,907.58/158.82
  6. Step 6: Final answer
    x = 150.53

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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.