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Finding the Fourth Proportional to 81.42, 111.76 and 72.48

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Solution

The fourth proportional to 81.42, 111.76 and 72.48 is: 99.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 111.76 = 72.48 : x
  2. Step 2: Convert to fraction form
    81.42/111.76 = 72.48/x
  3. Step 3: Cross multiply
    81.42x = 111.76 × 72.48
  4. Step 4: Simplify right side
    81.42x = 8,100.00
  5. Step 5: Solve for x
    x = 8,100.00/81.42
  6. Step 6: Final answer
    x = 99.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.