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Finding the Fourth Proportional to 137.47, 206.21 and 46.15

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Solution

The fourth proportional to 137.47, 206.21 and 46.15 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 206.21 = 46.15 : x
  2. Step 2: Convert to fraction form
    137.47/206.21 = 46.15/x
  3. Step 3: Cross multiply
    137.47x = 206.21 × 46.15
  4. Step 4: Simplify right side
    137.47x = 9,517.35
  5. Step 5: Solve for x
    x = 9,517.35/137.47
  6. Step 6: Final answer
    x = 69.23

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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.