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Finding the Fourth Proportional to 109.11, 150.45 and 78

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Solution

The fourth proportional to 109.11, 150.45 and 78 is: 107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 150.45 = 78 : x
  2. Step 2: Convert to fraction form
    109.11/150.45 = 78/x
  3. Step 3: Cross multiply
    109.11x = 150.45 × 78
  4. Step 4: Simplify right side
    109.11x = 11,735.10
  5. Step 5: Solve for x
    x = 11,735.10/109.11
  6. Step 6: Final answer
    x = 107.55

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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.