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Finding the Fourth Proportional to 75.61, 104.38 and 53.50

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Solution

The fourth proportional to 75.61, 104.38 and 53.50 is: 73.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.61 : 104.38 = 53.50 : x
  2. Step 2: Convert to fraction form
    75.61/104.38 = 53.50/x
  3. Step 3: Cross multiply
    75.61x = 104.38 × 53.50
  4. Step 4: Simplify right side
    75.61x = 5,583.80
  5. Step 5: Solve for x
    x = 5,583.80/75.61
  6. Step 6: Final answer
    x = 73.85

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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.