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Finding the Fourth Proportional to 75.69, 104.49 and 53.96

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Solution

The fourth proportional to 75.69, 104.49 and 53.96 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 104.49 = 53.96 : x
  2. Step 2: Convert to fraction form
    75.69/104.49 = 53.96/x
  3. Step 3: Cross multiply
    75.69x = 104.49 × 53.96
  4. Step 4: Simplify right side
    75.69x = 5,637.76
  5. Step 5: Solve for x
    x = 5,637.76/75.69
  6. Step 6: Final answer
    x = 74.48

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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.