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Finding the Fourth Proportional to 82.91, 114.37 and 49.24

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Solution

The fourth proportional to 82.91, 114.37 and 49.24 is: 67.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 114.37 = 49.24 : x
  2. Step 2: Convert to fraction form
    82.91/114.37 = 49.24/x
  3. Step 3: Cross multiply
    82.91x = 114.37 × 49.24
  4. Step 4: Simplify right side
    82.91x = 5,632.22
  5. Step 5: Solve for x
    x = 5,632.22/82.91
  6. Step 6: Final answer
    x = 67.93

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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.