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Finding the Fourth Proportional to 137.77, 206.65 and 45.22

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Solution

The fourth proportional to 137.77, 206.65 and 45.22 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.77 : 206.65 = 45.22 : x
  2. Step 2: Convert to fraction form
    137.77/206.65 = 45.22/x
  3. Step 3: Cross multiply
    137.77x = 206.65 × 45.22
  4. Step 4: Simplify right side
    137.77x = 9,343.94
  5. Step 5: Solve for x
    x = 9,343.94/137.77
  6. Step 6: Final answer
    x = 67.82

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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.