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Finding the Fourth Proportional to 73.08, 109.74 and 54.81

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Solution

The fourth proportional to 73.08, 109.74 and 54.81 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.08 : 109.74 = 54.81 : x
  2. Step 2: Convert to fraction form
    73.08/109.74 = 54.81/x
  3. Step 3: Cross multiply
    73.08x = 109.74 × 54.81
  4. Step 4: Simplify right side
    73.08x = 6,014.85
  5. Step 5: Solve for x
    x = 6,014.85/73.08
  6. Step 6: Final answer
    x = 82.31

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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.