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Finding the Fourth Proportional to 109.06, 150.42 and 77.54

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Solution

The fourth proportional to 109.06, 150.42 and 77.54 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 150.42 = 77.54 : x
  2. Step 2: Convert to fraction form
    109.06/150.42 = 77.54/x
  3. Step 3: Cross multiply
    109.06x = 150.42 × 77.54
  4. Step 4: Simplify right side
    109.06x = 11,663.57
  5. Step 5: Solve for x
    x = 11,663.57/109.06
  6. Step 6: Final answer
    x = 106.95

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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.