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Finding the Fourth Proportional to 75.11, 112.65 and 20.99

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Solution

The fourth proportional to 75.11, 112.65 and 20.99 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 112.65 = 20.99 : x
  2. Step 2: Convert to fraction form
    75.11/112.65 = 20.99/x
  3. Step 3: Cross multiply
    75.11x = 112.65 × 20.99
  4. Step 4: Simplify right side
    75.11x = 2,363.86
  5. Step 5: Solve for x
    x = 2,363.86/75.11
  6. Step 6: Final answer
    x = 31.47

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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.