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Finding the Fourth Proportional to 56.06, 84.08 and 31.73

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Solution

The fourth proportional to 56.06, 84.08 and 31.73 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 84.08 = 31.73 : x
  2. Step 2: Convert to fraction form
    56.06/84.08 = 31.73/x
  3. Step 3: Cross multiply
    56.06x = 84.08 × 31.73
  4. Step 4: Simplify right side
    56.06x = 2,667.28
  5. Step 5: Solve for x
    x = 2,667.28/56.06
  6. Step 6: Final answer
    x = 47.58

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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.