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Finding the Fourth Proportional to 75.64, 103.77 and 74.56

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Solution

The fourth proportional to 75.64, 103.77 and 74.56 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 103.77 = 74.56 : x
  2. Step 2: Convert to fraction form
    75.64/103.77 = 74.56/x
  3. Step 3: Cross multiply
    75.64x = 103.77 × 74.56
  4. Step 4: Simplify right side
    75.64x = 7,737.09
  5. Step 5: Solve for x
    x = 7,737.09/75.64
  6. Step 6: Final answer
    x = 102.29

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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.