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Finding the Fourth Proportional to 137.95, 206.86 and 51.26

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Solution

The fourth proportional to 137.95, 206.86 and 51.26 is: 76.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 206.86 = 51.26 : x
  2. Step 2: Convert to fraction form
    137.95/206.86 = 51.26/x
  3. Step 3: Cross multiply
    137.95x = 206.86 × 51.26
  4. Step 4: Simplify right side
    137.95x = 10,603.64
  5. Step 5: Solve for x
    x = 10,603.64/137.95
  6. Step 6: Final answer
    x = 76.87

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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.