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Finding the Fourth Proportional to 109.40, 150.77 and 78.12

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Solution

The fourth proportional to 109.40, 150.77 and 78.12 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 150.77 = 78.12 : x
  2. Step 2: Convert to fraction form
    109.40/150.77 = 78.12/x
  3. Step 3: Cross multiply
    109.40x = 150.77 × 78.12
  4. Step 4: Simplify right side
    109.40x = 11,778.35
  5. Step 5: Solve for x
    x = 11,778.35/109.40
  6. Step 6: Final answer
    x = 107.67

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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.