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Finding the Fourth Proportional to 137.69, 206.63 and 51.07

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Solution

The fourth proportional to 137.69, 206.63 and 51.07 is: 76.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.69 : 206.63 = 51.07 : x
  2. Step 2: Convert to fraction form
    137.69/206.63 = 51.07/x
  3. Step 3: Cross multiply
    137.69x = 206.63 × 51.07
  4. Step 4: Simplify right side
    137.69x = 10,552.59
  5. Step 5: Solve for x
    x = 10,552.59/137.69
  6. Step 6: Final answer
    x = 76.64

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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.