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Finding the Fourth Proportional to 84.15, 116.10 and 59.40

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Solution

The fourth proportional to 84.15, 116.10 and 59.40 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.15 : 116.10 = 59.40 : x
  2. Step 2: Convert to fraction form
    84.15/116.10 = 59.40/x
  3. Step 3: Cross multiply
    84.15x = 116.10 × 59.40
  4. Step 4: Simplify right side
    84.15x = 6,896.34
  5. Step 5: Solve for x
    x = 6,896.34/84.15
  6. Step 6: Final answer
    x = 81.95

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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.