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Finding the Fourth Proportional to 82.81, 114.23 and 50.07

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Solution

The fourth proportional to 82.81, 114.23 and 50.07 is: 69.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.81 : 114.23 = 50.07 : x
  2. Step 2: Convert to fraction form
    82.81/114.23 = 50.07/x
  3. Step 3: Cross multiply
    82.81x = 114.23 × 50.07
  4. Step 4: Simplify right side
    82.81x = 5,719.13
  5. Step 5: Solve for x
    x = 5,719.13/82.81
  6. Step 6: Final answer
    x = 69.07

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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.