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Finding the Fourth Proportional to 109.09, 150.38 and 69.74

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Solution

The fourth proportional to 109.09, 150.38 and 69.74 is: 96.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.09 : 150.38 = 69.74 : x
  2. Step 2: Convert to fraction form
    109.09/150.38 = 69.74/x
  3. Step 3: Cross multiply
    109.09x = 150.38 × 69.74
  4. Step 4: Simplify right side
    109.09x = 10,487.28
  5. Step 5: Solve for x
    x = 10,487.28/109.09
  6. Step 6: Final answer
    x = 96.14

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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.