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Finding the Fourth Proportional to 137.57, 206.27 and 46.30

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Solution

The fourth proportional to 137.57, 206.27 and 46.30 is: 69.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 206.27 = 46.30 : x
  2. Step 2: Convert to fraction form
    137.57/206.27 = 46.30/x
  3. Step 3: Cross multiply
    137.57x = 206.27 × 46.30
  4. Step 4: Simplify right side
    137.57x = 9,549.66
  5. Step 5: Solve for x
    x = 9,549.66/137.57
  6. Step 6: Final answer
    x = 69.42

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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.