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Finding the Fourth Proportional to 55.22, 82.84 and 31.22

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Solution

The fourth proportional to 55.22, 82.84 and 31.22 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 82.84 = 31.22 : x
  2. Step 2: Convert to fraction form
    55.22/82.84 = 31.22/x
  3. Step 3: Cross multiply
    55.22x = 82.84 × 31.22
  4. Step 4: Simplify right side
    55.22x = 2,586.26
  5. Step 5: Solve for x
    x = 2,586.26/55.22
  6. Step 6: Final answer
    x = 46.84

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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.