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Finding the Fourth Proportional to 109.04, 150.34 and 76.28

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Solution

The fourth proportional to 109.04, 150.34 and 76.28 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 150.34 = 76.28 : x
  2. Step 2: Convert to fraction form
    109.04/150.34 = 76.28/x
  3. Step 3: Cross multiply
    109.04x = 150.34 × 76.28
  4. Step 4: Simplify right side
    109.04x = 11,467.94
  5. Step 5: Solve for x
    x = 11,467.94/109.04
  6. Step 6: Final answer
    x = 105.17

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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.