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Finding the Fourth Proportional to 124.19, 185.90 and 109.16

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Solution

The fourth proportional to 124.19, 185.90 and 109.16 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.19 : 185.90 = 109.16 : x
  2. Step 2: Convert to fraction form
    124.19/185.90 = 109.16/x
  3. Step 3: Cross multiply
    124.19x = 185.90 × 109.16
  4. Step 4: Simplify right side
    124.19x = 20,291.37
  5. Step 5: Solve for x
    x = 20,291.37/124.19
  6. Step 6: Final answer
    x = 163.40

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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.