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Finding the Fourth Proportional to 109.42, 163.72 and 75.22

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Solution

The fourth proportional to 109.42, 163.72 and 75.22 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 163.72 = 75.22 : x
  2. Step 2: Convert to fraction form
    109.42/163.72 = 75.22/x
  3. Step 3: Cross multiply
    109.42x = 163.72 × 75.22
  4. Step 4: Simplify right side
    109.42x = 12,315.02
  5. Step 5: Solve for x
    x = 12,315.02/109.42
  6. Step 6: Final answer
    x = 112.55

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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.