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Finding the Fourth Proportional to 82.61, 114 and 49.86

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Solution

The fourth proportional to 82.61, 114 and 49.86 is: 68.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.61 : 114 = 49.86 : x
  2. Step 2: Convert to fraction form
    82.61/114 = 49.86/x
  3. Step 3: Cross multiply
    82.61x = 114 × 49.86
  4. Step 4: Simplify right side
    82.61x = 5,684.04
  5. Step 5: Solve for x
    x = 5,684.04/82.61
  6. Step 6: Final answer
    x = 68.81

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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.