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Finding the Fourth Proportional to 137.72, 206.47 and 56.55

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Solution

The fourth proportional to 137.72, 206.47 and 56.55 is: 84.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 206.47 = 56.55 : x
  2. Step 2: Convert to fraction form
    137.72/206.47 = 56.55/x
  3. Step 3: Cross multiply
    137.72x = 206.47 × 56.55
  4. Step 4: Simplify right side
    137.72x = 11,675.74
  5. Step 5: Solve for x
    x = 11,675.74/137.72
  6. Step 6: Final answer
    x = 84.78

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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.