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Finding the Fourth Proportional to 75.29, 103.90 and 42.09

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Solution

The fourth proportional to 75.29, 103.90 and 42.09 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 103.90 = 42.09 : x
  2. Step 2: Convert to fraction form
    75.29/103.90 = 42.09/x
  3. Step 3: Cross multiply
    75.29x = 103.90 × 42.09
  4. Step 4: Simplify right side
    75.29x = 4,373.31
  5. Step 5: Solve for x
    x = 4,373.31/75.29
  6. Step 6: Final answer
    x = 58.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.