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Finding the Fourth Proportional to 70.77, 106.00 and 54.54

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Solution

The fourth proportional to 70.77, 106.00 and 54.54 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 106.00 = 54.54 : x
  2. Step 2: Convert to fraction form
    70.77/106.00 = 54.54/x
  3. Step 3: Cross multiply
    70.77x = 106.00 × 54.54
  4. Step 4: Simplify right side
    70.77x = 5,780.97
  5. Step 5: Solve for x
    x = 5,780.97/70.77
  6. Step 6: Final answer
    x = 81.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.