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Finding the Fourth Proportional to 82.08, 113.15 and 55.81

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Solution

The fourth proportional to 82.08, 113.15 and 55.81 is: 76.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 113.15 = 55.81 : x
  2. Step 2: Convert to fraction form
    82.08/113.15 = 55.81/x
  3. Step 3: Cross multiply
    82.08x = 113.15 × 55.81
  4. Step 4: Simplify right side
    82.08x = 6,314.23
  5. Step 5: Solve for x
    x = 6,314.23/82.08
  6. Step 6: Final answer
    x = 76.93

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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.