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Finding the Fourth Proportional to 76.10, 104.10 and 75.86

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Solution

The fourth proportional to 76.10, 104.10 and 75.86 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.10 : 104.10 = 75.86 : x
  2. Step 2: Convert to fraction form
    76.10/104.10 = 75.86/x
  3. Step 3: Cross multiply
    76.10x = 104.10 × 75.86
  4. Step 4: Simplify right side
    76.10x = 7,897.03
  5. Step 5: Solve for x
    x = 7,897.03/76.10
  6. Step 6: Final answer
    x = 103.77

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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.