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Finding the Fourth Proportional to 75.19, 103.81 and 51.92

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Solution

The fourth proportional to 75.19, 103.81 and 51.92 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 103.81 = 51.92 : x
  2. Step 2: Convert to fraction form
    75.19/103.81 = 51.92/x
  3. Step 3: Cross multiply
    75.19x = 103.81 × 51.92
  4. Step 4: Simplify right side
    75.19x = 5,389.82
  5. Step 5: Solve for x
    x = 5,389.82/75.19
  6. Step 6: Final answer
    x = 71.68

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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.