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Finding the Fourth Proportional to 75.21, 103.66 and 54.52

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Solution

The fourth proportional to 75.21, 103.66 and 54.52 is: 75.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 103.66 = 54.52 : x
  2. Step 2: Convert to fraction form
    75.21/103.66 = 54.52/x
  3. Step 3: Cross multiply
    75.21x = 103.66 × 54.52
  4. Step 4: Simplify right side
    75.21x = 5,651.54
  5. Step 5: Solve for x
    x = 5,651.54/75.21
  6. Step 6: Final answer
    x = 75.14

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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.