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Finding the Fourth Proportional to 75.99, 104.81 and 53.81

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Solution

The fourth proportional to 75.99, 104.81 and 53.81 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.99 : 104.81 = 53.81 : x
  2. Step 2: Convert to fraction form
    75.99/104.81 = 53.81/x
  3. Step 3: Cross multiply
    75.99x = 104.81 × 53.81
  4. Step 4: Simplify right side
    75.99x = 5,640.09
  5. Step 5: Solve for x
    x = 5,640.09/75.99
  6. Step 6: Final answer
    x = 74.22

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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.