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Finding the Fourth Proportional to 137.65, 206.47 and 46.30

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Solution

The fourth proportional to 137.65, 206.47 and 46.30 is: 69.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 206.47 = 46.30 : x
  2. Step 2: Convert to fraction form
    137.65/206.47 = 46.30/x
  3. Step 3: Cross multiply
    137.65x = 206.47 × 46.30
  4. Step 4: Simplify right side
    137.65x = 9,558.30
  5. Step 5: Solve for x
    x = 9,558.30/137.65
  6. Step 6: Final answer
    x = 69.44

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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.