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Finding the Fourth Proportional to 82.13, 113.37 and 51.07

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Solution

The fourth proportional to 82.13, 113.37 and 51.07 is: 70.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 113.37 = 51.07 : x
  2. Step 2: Convert to fraction form
    82.13/113.37 = 51.07/x
  3. Step 3: Cross multiply
    82.13x = 113.37 × 51.07
  4. Step 4: Simplify right side
    82.13x = 5,789.81
  5. Step 5: Solve for x
    x = 5,789.81/82.13
  6. Step 6: Final answer
    x = 70.50

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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.