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Finding the Fourth Proportional to 75.36, 113 and 27.24

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Solution

The fourth proportional to 75.36, 113 and 27.24 is: 40.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 113 = 27.24 : x
  2. Step 2: Convert to fraction form
    75.36/113 = 27.24/x
  3. Step 3: Cross multiply
    75.36x = 113 × 27.24
  4. Step 4: Simplify right side
    75.36x = 3,078.12
  5. Step 5: Solve for x
    x = 3,078.12/75.36
  6. Step 6: Final answer
    x = 40.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.