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Finding the Fourth Proportional to 137.68, 206.45 and 46.35

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Solution

The fourth proportional to 137.68, 206.45 and 46.35 is: 69.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 206.45 = 46.35 : x
  2. Step 2: Convert to fraction form
    137.68/206.45 = 46.35/x
  3. Step 3: Cross multiply
    137.68x = 206.45 × 46.35
  4. Step 4: Simplify right side
    137.68x = 9,568.73
  5. Step 5: Solve for x
    x = 9,568.73/137.68
  6. Step 6: Final answer
    x = 69.50

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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.