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Finding the Fourth Proportional to 99.72, 137.48 and 82.15

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Solution

The fourth proportional to 99.72, 137.48 and 82.15 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 137.48 = 82.15 : x
  2. Step 2: Convert to fraction form
    99.72/137.48 = 82.15/x
  3. Step 3: Cross multiply
    99.72x = 137.48 × 82.15
  4. Step 4: Simplify right side
    99.72x = 11,293.23
  5. Step 5: Solve for x
    x = 11,293.23/99.72
  6. Step 6: Final answer
    x = 113.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.