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Finding the Fourth Proportional to 75.68, 103.84 and 73.64

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Solution

The fourth proportional to 75.68, 103.84 and 73.64 is: 101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.68 : 103.84 = 73.64 : x
  2. Step 2: Convert to fraction form
    75.68/103.84 = 73.64/x
  3. Step 3: Cross multiply
    75.68x = 103.84 × 73.64
  4. Step 4: Simplify right side
    75.68x = 7,646.78
  5. Step 5: Solve for x
    x = 7,646.78/75.68
  6. Step 6: Final answer
    x = 101.04

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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.