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Finding the Fourth Proportional to 109.24, 163.86 and 73.42

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Solution

The fourth proportional to 109.24, 163.86 and 73.42 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.24 : 163.86 = 73.42 : x
  2. Step 2: Convert to fraction form
    109.24/163.86 = 73.42/x
  3. Step 3: Cross multiply
    109.24x = 163.86 × 73.42
  4. Step 4: Simplify right side
    109.24x = 12,030.60
  5. Step 5: Solve for x
    x = 12,030.60/109.24
  6. Step 6: Final answer
    x = 110.13

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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.