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Finding the Fourth Proportional to 84.16, 116.07 and 59.54

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Solution

The fourth proportional to 84.16, 116.07 and 59.54 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.07 = 59.54 : x
  2. Step 2: Convert to fraction form
    84.16/116.07 = 59.54/x
  3. Step 3: Cross multiply
    84.16x = 116.07 × 59.54
  4. Step 4: Simplify right side
    84.16x = 6,910.81
  5. Step 5: Solve for x
    x = 6,910.81/84.16
  6. Step 6: Final answer
    x = 82.12

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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.