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Finding the Fourth Proportional to 75.85, 104.61 and 53.98

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Solution

The fourth proportional to 75.85, 104.61 and 53.98 is: 74.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.85 : 104.61 = 53.98 : x
  2. Step 2: Convert to fraction form
    75.85/104.61 = 53.98/x
  3. Step 3: Cross multiply
    75.85x = 104.61 × 53.98
  4. Step 4: Simplify right side
    75.85x = 5,646.85
  5. Step 5: Solve for x
    x = 5,646.85/75.85
  6. Step 6: Final answer
    x = 74.45

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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.