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Finding the Fourth Proportional to 82.10, 113.19 and 66.50

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Solution

The fourth proportional to 82.10, 113.19 and 66.50 is: 91.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 113.19 = 66.50 : x
  2. Step 2: Convert to fraction form
    82.10/113.19 = 66.50/x
  3. Step 3: Cross multiply
    82.10x = 113.19 × 66.50
  4. Step 4: Simplify right side
    82.10x = 7,527.14
  5. Step 5: Solve for x
    x = 7,527.14/82.10
  6. Step 6: Final answer
    x = 91.68

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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.