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Finding the Fourth Proportional to 73.84, 110.72 and 51.06

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Solution

The fourth proportional to 73.84, 110.72 and 51.06 is: 76.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 110.72 = 51.06 : x
  2. Step 2: Convert to fraction form
    73.84/110.72 = 51.06/x
  3. Step 3: Cross multiply
    73.84x = 110.72 × 51.06
  4. Step 4: Simplify right side
    73.84x = 5,652.68
  5. Step 5: Solve for x
    x = 5,652.68/73.84
  6. Step 6: Final answer
    x = 76.56

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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.