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Finding the Fourth Proportional to 81.72, 112.01 and 77.40

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Solution

The fourth proportional to 81.72, 112.01 and 77.40 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.72 : 112.01 = 77.40 : x
  2. Step 2: Convert to fraction form
    81.72/112.01 = 77.40/x
  3. Step 3: Cross multiply
    81.72x = 112.01 × 77.40
  4. Step 4: Simplify right side
    81.72x = 8,669.19
  5. Step 5: Solve for x
    x = 8,669.19/81.72
  6. Step 6: Final answer
    x = 106.08

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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.