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Finding the Fourth Proportional to 53.46, 80.18 and 19.22

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Solution

The fourth proportional to 53.46, 80.18 and 19.22 is: 28.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 80.18 = 19.22 : x
  2. Step 2: Convert to fraction form
    53.46/80.18 = 19.22/x
  3. Step 3: Cross multiply
    53.46x = 80.18 × 19.22
  4. Step 4: Simplify right side
    53.46x = 1,541.06
  5. Step 5: Solve for x
    x = 1,541.06/53.46
  6. Step 6: Final answer
    x = 28.83

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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.