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Finding the Fourth Proportional to 75.80, 104.49 and 53.93

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Solution

The fourth proportional to 75.80, 104.49 and 53.93 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.80 : 104.49 = 53.93 : x
  2. Step 2: Convert to fraction form
    75.80/104.49 = 53.93/x
  3. Step 3: Cross multiply
    75.80x = 104.49 × 53.93
  4. Step 4: Simplify right side
    75.80x = 5,635.41
  5. Step 5: Solve for x
    x = 5,635.41/75.80
  6. Step 6: Final answer
    x = 74.34

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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.