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Finding the Fourth Proportional to 109.48, 164.22 and 75.14

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Solution

The fourth proportional to 109.48, 164.22 and 75.14 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.48 : 164.22 = 75.14 : x
  2. Step 2: Convert to fraction form
    109.48/164.22 = 75.14/x
  3. Step 3: Cross multiply
    109.48x = 164.22 × 75.14
  4. Step 4: Simplify right side
    109.48x = 12,339.17
  5. Step 5: Solve for x
    x = 12,339.17/109.48
  6. Step 6: Final answer
    x = 112.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.