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Finding the Fourth Proportional to 109.49, 150.99 and 76.64

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Solution

The fourth proportional to 109.49, 150.99 and 76.64 is: 105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 150.99 = 76.64 : x
  2. Step 2: Convert to fraction form
    109.49/150.99 = 76.64/x
  3. Step 3: Cross multiply
    109.49x = 150.99 × 76.64
  4. Step 4: Simplify right side
    109.49x = 11,571.87
  5. Step 5: Solve for x
    x = 11,571.87/109.49
  6. Step 6: Final answer
    x = 105.69

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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.