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Finding the Fourth Proportional to 75.83, 104.42 and 67.07

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Solution

The fourth proportional to 75.83, 104.42 and 67.07 is: 92.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.83 : 104.42 = 67.07 : x
  2. Step 2: Convert to fraction form
    75.83/104.42 = 67.07/x
  3. Step 3: Cross multiply
    75.83x = 104.42 × 67.07
  4. Step 4: Simplify right side
    75.83x = 7,002.59
  5. Step 5: Solve for x
    x = 7,002.59/75.83
  6. Step 6: Final answer
    x = 92.35

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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.