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Finding the Fourth Proportional to 137.31, 205.96 and 56.06

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Solution

The fourth proportional to 137.31, 205.96 and 56.06 is: 84.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.31 : 205.96 = 56.06 : x
  2. Step 2: Convert to fraction form
    137.31/205.96 = 56.06/x
  3. Step 3: Cross multiply
    137.31x = 205.96 × 56.06
  4. Step 4: Simplify right side
    137.31x = 11,546.12
  5. Step 5: Solve for x
    x = 11,546.12/137.31
  6. Step 6: Final answer
    x = 84.09

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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.