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Finding the Fourth Proportional to 137.63, 206.48 and 124.20

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Solution

The fourth proportional to 137.63, 206.48 and 124.20 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.63 : 206.48 = 124.20 : x
  2. Step 2: Convert to fraction form
    137.63/206.48 = 124.20/x
  3. Step 3: Cross multiply
    137.63x = 206.48 × 124.20
  4. Step 4: Simplify right side
    137.63x = 25,645.13
  5. Step 5: Solve for x
    x = 25,645.13/137.63
  6. Step 6: Final answer
    x = 186.33

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