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Finding the Fourth Proportional to 75.71, 113.66 and 54.47

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Solution

The fourth proportional to 75.71, 113.66 and 54.47 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 113.66 = 54.47 : x
  2. Step 2: Convert to fraction form
    75.71/113.66 = 54.47/x
  3. Step 3: Cross multiply
    75.71x = 113.66 × 54.47
  4. Step 4: Simplify right side
    75.71x = 6,190.22
  5. Step 5: Solve for x
    x = 6,190.22/75.71
  6. Step 6: Final answer
    x = 81.77

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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.