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Finding the Fourth Proportional to 82.22, 113.42 and 53.11

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Solution

The fourth proportional to 82.22, 113.42 and 53.11 is: 73.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.22 : 113.42 = 53.11 : x
  2. Step 2: Convert to fraction form
    82.22/113.42 = 53.11/x
  3. Step 3: Cross multiply
    82.22x = 113.42 × 53.11
  4. Step 4: Simplify right side
    82.22x = 6,023.71
  5. Step 5: Solve for x
    x = 6,023.71/82.22
  6. Step 6: Final answer
    x = 73.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.