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Finding the Fourth Proportional to 109.29, 150.84 and 76.15

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Solution

The fourth proportional to 109.29, 150.84 and 76.15 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.29 : 150.84 = 76.15 : x
  2. Step 2: Convert to fraction form
    109.29/150.84 = 76.15/x
  3. Step 3: Cross multiply
    109.29x = 150.84 × 76.15
  4. Step 4: Simplify right side
    109.29x = 11,486.47
  5. Step 5: Solve for x
    x = 11,486.47/109.29
  6. Step 6: Final answer
    x = 105.10

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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.