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Finding the Fourth Proportional to 82.82, 114.34 and 55.22

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Solution

The fourth proportional to 82.82, 114.34 and 55.22 is: 76.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.82 : 114.34 = 55.22 : x
  2. Step 2: Convert to fraction form
    82.82/114.34 = 55.22/x
  3. Step 3: Cross multiply
    82.82x = 114.34 × 55.22
  4. Step 4: Simplify right side
    82.82x = 6,314.00
  5. Step 5: Solve for x
    x = 6,314.00/82.82
  6. Step 6: Final answer
    x = 76.24

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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.