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Finding the Fourth Proportional to 137.83, 206.75 and 69.16

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Solution

The fourth proportional to 137.83, 206.75 and 69.16 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.83 : 206.75 = 69.16 : x
  2. Step 2: Convert to fraction form
    137.83/206.75 = 69.16/x
  3. Step 3: Cross multiply
    137.83x = 206.75 × 69.16
  4. Step 4: Simplify right side
    137.83x = 14,297.45
  5. Step 5: Solve for x
    x = 14,297.45/137.83
  6. Step 6: Final answer
    x = 103.74

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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.