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Finding the Fourth Proportional to 137.74, 206.63 and 64.69

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Solution

The fourth proportional to 137.74, 206.63 and 64.69 is: 97.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 206.63 = 64.69 : x
  2. Step 2: Convert to fraction form
    137.74/206.63 = 64.69/x
  3. Step 3: Cross multiply
    137.74x = 206.63 × 64.69
  4. Step 4: Simplify right side
    137.74x = 13,367.57
  5. Step 5: Solve for x
    x = 13,367.57/137.74
  6. Step 6: Final answer
    x = 97.05

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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.