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Finding the Fourth Proportional to 84.63, 116.84 and 84.12

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Solution

The fourth proportional to 84.63, 116.84 and 84.12 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.63 : 116.84 = 84.12 : x
  2. Step 2: Convert to fraction form
    84.63/116.84 = 84.12/x
  3. Step 3: Cross multiply
    84.63x = 116.84 × 84.12
  4. Step 4: Simplify right side
    84.63x = 9,828.16
  5. Step 5: Solve for x
    x = 9,828.16/84.63
  6. Step 6: Final answer
    x = 116.13

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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.