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Finding the Fourth Proportional to 137.84, 206.55 and 107.25

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Solution

The fourth proportional to 137.84, 206.55 and 107.25 is: 160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 206.55 = 107.25 : x
  2. Step 2: Convert to fraction form
    137.84/206.55 = 107.25/x
  3. Step 3: Cross multiply
    137.84x = 206.55 × 107.25
  4. Step 4: Simplify right side
    137.84x = 22,152.49
  5. Step 5: Solve for x
    x = 22,152.49/137.84
  6. Step 6: Final answer
    x = 160.72

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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.