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Finding the Fourth Proportional to 84.60, 116.37 and 83.70

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Solution

The fourth proportional to 84.60, 116.37 and 83.70 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 116.37 = 83.70 : x
  2. Step 2: Convert to fraction form
    84.60/116.37 = 83.70/x
  3. Step 3: Cross multiply
    84.60x = 116.37 × 83.70
  4. Step 4: Simplify right side
    84.60x = 9,740.17
  5. Step 5: Solve for x
    x = 9,740.17/84.60
  6. Step 6: Final answer
    x = 115.13

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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.