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Finding the Fourth Proportional to 82.73, 114.21 and 53.24

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Solution

The fourth proportional to 82.73, 114.21 and 53.24 is: 73.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 114.21 = 53.24 : x
  2. Step 2: Convert to fraction form
    82.73/114.21 = 53.24/x
  3. Step 3: Cross multiply
    82.73x = 114.21 × 53.24
  4. Step 4: Simplify right side
    82.73x = 6,079.97
  5. Step 5: Solve for x
    x = 6,079.97/82.73
  6. Step 6: Final answer
    x = 73.49

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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.