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Finding the Fourth Proportional to 75.16, 111.83 and 73.54

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Solution

The fourth proportional to 75.16, 111.83 and 73.54 is: 109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.16 : 111.83 = 73.54 : x
  2. Step 2: Convert to fraction form
    75.16/111.83 = 73.54/x
  3. Step 3: Cross multiply
    75.16x = 111.83 × 73.54
  4. Step 4: Simplify right side
    75.16x = 8,223.98
  5. Step 5: Solve for x
    x = 8,223.98/75.16
  6. Step 6: Final answer
    x = 109.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.