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Finding the Fourth Proportional to 79.56, 109.74 and 54.96

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Solution

The fourth proportional to 79.56, 109.74 and 54.96 is: 75.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.56 : 109.74 = 54.96 : x
  2. Step 2: Convert to fraction form
    79.56/109.74 = 54.96/x
  3. Step 3: Cross multiply
    79.56x = 109.74 × 54.96
  4. Step 4: Simplify right side
    79.56x = 6,031.31
  5. Step 5: Solve for x
    x = 6,031.31/79.56
  6. Step 6: Final answer
    x = 75.81

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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.