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Finding the Fourth Proportional to 75.61, 103.77 and 73.59

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Solution

The fourth proportional to 75.61, 103.77 and 73.59 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.61 : 103.77 = 73.59 : x
  2. Step 2: Convert to fraction form
    75.61/103.77 = 73.59/x
  3. Step 3: Cross multiply
    75.61x = 103.77 × 73.59
  4. Step 4: Simplify right side
    75.61x = 7,635.92
  5. Step 5: Solve for x
    x = 7,635.92/75.61
  6. Step 6: Final answer
    x = 100.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.