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Finding the Fourth Proportional to 75.78, 105.09 and 73.53

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Solution

The fourth proportional to 75.78, 105.09 and 73.53 is: 101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 105.09 = 73.53 : x
  2. Step 2: Convert to fraction form
    75.78/105.09 = 73.53/x
  3. Step 3: Cross multiply
    75.78x = 105.09 × 73.53
  4. Step 4: Simplify right side
    75.78x = 7,727.27
  5. Step 5: Solve for x
    x = 7,727.27/75.78
  6. Step 6: Final answer
    x = 101.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.