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Finding the Fourth Proportional to 84.08, 116 and 59.56

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Solution

The fourth proportional to 84.08, 116 and 59.56 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 116 = 59.56 : x
  2. Step 2: Convert to fraction form
    84.08/116 = 59.56/x
  3. Step 3: Cross multiply
    84.08x = 116 × 59.56
  4. Step 4: Simplify right side
    84.08x = 6,908.96
  5. Step 5: Solve for x
    x = 6,908.96/84.08
  6. Step 6: Final answer
    x = 82.17

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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.