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Finding the Fourth Proportional to 124.08, 185.78 and 109.08

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Solution

The fourth proportional to 124.08, 185.78 and 109.08 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.08 : 185.78 = 109.08 : x
  2. Step 2: Convert to fraction form
    124.08/185.78 = 109.08/x
  3. Step 3: Cross multiply
    124.08x = 185.78 × 109.08
  4. Step 4: Simplify right side
    124.08x = 20,264.88
  5. Step 5: Solve for x
    x = 20,264.88/124.08
  6. Step 6: Final answer
    x = 163.32

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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.