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Finding the Fourth Proportional to 75.80, 104.48 and 59.44

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Solution

The fourth proportional to 75.80, 104.48 and 59.44 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.80 : 104.48 = 59.44 : x
  2. Step 2: Convert to fraction form
    75.80/104.48 = 59.44/x
  3. Step 3: Cross multiply
    75.80x = 104.48 × 59.44
  4. Step 4: Simplify right side
    75.80x = 6,210.29
  5. Step 5: Solve for x
    x = 6,210.29/75.80
  6. Step 6: Final answer
    x = 81.93

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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.