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Finding the Fourth Proportional to 84.44, 116.13 and 72.12

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Solution

The fourth proportional to 84.44, 116.13 and 72.12 is: 99.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 116.13 = 72.12 : x
  2. Step 2: Convert to fraction form
    84.44/116.13 = 72.12/x
  3. Step 3: Cross multiply
    84.44x = 116.13 × 72.12
  4. Step 4: Simplify right side
    84.44x = 8,376.00
  5. Step 5: Solve for x
    x = 8,376.00/84.44
  6. Step 6: Final answer
    x = 99.19

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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.