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Finding the Fourth Proportional to 55.31, 82.95 and 19.22

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Solution

The fourth proportional to 55.31, 82.95 and 19.22 is: 28.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 82.95 = 19.22 : x
  2. Step 2: Convert to fraction form
    55.31/82.95 = 19.22/x
  3. Step 3: Cross multiply
    55.31x = 82.95 × 19.22
  4. Step 4: Simplify right side
    55.31x = 1,593.88
  5. Step 5: Solve for x
    x = 1,593.88/55.31
  6. Step 6: Final answer
    x = 28.82

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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.