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Finding the Fourth Proportional to 75.54, 104.11 and 57.12

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Solution

The fourth proportional to 75.54, 104.11 and 57.12 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.54 : 104.11 = 57.12 : x
  2. Step 2: Convert to fraction form
    75.54/104.11 = 57.12/x
  3. Step 3: Cross multiply
    75.54x = 104.11 × 57.12
  4. Step 4: Simplify right side
    75.54x = 5,946.76
  5. Step 5: Solve for x
    x = 5,946.76/75.54
  6. Step 6: Final answer
    x = 78.72

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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.