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Finding the Fourth Proportional to 137.65, 206.39 and 72.59

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Solution

The fourth proportional to 137.65, 206.39 and 72.59 is: 108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 206.39 = 72.59 : x
  2. Step 2: Convert to fraction form
    137.65/206.39 = 72.59/x
  3. Step 3: Cross multiply
    137.65x = 206.39 × 72.59
  4. Step 4: Simplify right side
    137.65x = 14,980.84
  5. Step 5: Solve for x
    x = 14,980.84/137.65
  6. Step 6: Final answer
    x = 108.83

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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.