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Finding the Fourth Proportional to 82.81, 114.23 and 51.75

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Solution

The fourth proportional to 82.81, 114.23 and 51.75 is: 71.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.81 : 114.23 = 51.75 : x
  2. Step 2: Convert to fraction form
    82.81/114.23 = 51.75/x
  3. Step 3: Cross multiply
    82.81x = 114.23 × 51.75
  4. Step 4: Simplify right side
    82.81x = 5,911.53
  5. Step 5: Solve for x
    x = 5,911.53/82.81
  6. Step 6: Final answer
    x = 71.39

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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.