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Finding the Fourth Proportional to 75.77, 103.85 and 74.86

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Solution

The fourth proportional to 75.77, 103.85 and 74.86 is: 102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 103.85 = 74.86 : x
  2. Step 2: Convert to fraction form
    75.77/103.85 = 74.86/x
  3. Step 3: Cross multiply
    75.77x = 103.85 × 74.86
  4. Step 4: Simplify right side
    75.77x = 7,773.86
  5. Step 5: Solve for x
    x = 7,773.86/75.77
  6. Step 6: Final answer
    x = 102.60

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