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Finding the Fourth Proportional to 109.11, 150.64 and 84.17

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Solution

The fourth proportional to 109.11, 150.64 and 84.17 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 150.64 = 84.17 : x
  2. Step 2: Convert to fraction form
    109.11/150.64 = 84.17/x
  3. Step 3: Cross multiply
    109.11x = 150.64 × 84.17
  4. Step 4: Simplify right side
    109.11x = 12,679.37
  5. Step 5: Solve for x
    x = 12,679.37/109.11
  6. Step 6: Final answer
    x = 116.21

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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.