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Finding the Fourth Proportional to 82.72, 114 and 66.34

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Solution

The fourth proportional to 82.72, 114 and 66.34 is: 91.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 114 = 66.34 : x
  2. Step 2: Convert to fraction form
    82.72/114 = 66.34/x
  3. Step 3: Cross multiply
    82.72x = 114 × 66.34
  4. Step 4: Simplify right side
    82.72x = 7,562.76
  5. Step 5: Solve for x
    x = 7,562.76/82.72
  6. Step 6: Final answer
    x = 91.43

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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.