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Finding the Fourth Proportional to 137.56, 206.34 and 56.31

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Solution

The fourth proportional to 137.56, 206.34 and 56.31 is: 84.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 206.34 = 56.31 : x
  2. Step 2: Convert to fraction form
    137.56/206.34 = 56.31/x
  3. Step 3: Cross multiply
    137.56x = 206.34 × 56.31
  4. Step 4: Simplify right side
    137.56x = 11,618.72
  5. Step 5: Solve for x
    x = 11,618.72/137.56
  6. Step 6: Final answer
    x = 84.47

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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.