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Finding the Fourth Proportional to 56, 83.96 and 37.90

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Solution

The fourth proportional to 56, 83.96 and 37.90 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 83.96 = 37.90 : x
  2. Step 2: Convert to fraction form
    56/83.96 = 37.90/x
  3. Step 3: Cross multiply
    56x = 83.96 × 37.90
  4. Step 4: Simplify right side
    56x = 3,182.08
  5. Step 5: Solve for x
    x = 3,182.08/56
  6. Step 6: Final answer
    x = 56.82

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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.