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Finding the Fourth Proportional to 75.44, 103.84 and 71.36

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Solution

The fourth proportional to 75.44, 103.84 and 71.36 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.44 : 103.84 = 71.36 : x
  2. Step 2: Convert to fraction form
    75.44/103.84 = 71.36/x
  3. Step 3: Cross multiply
    75.44x = 103.84 × 71.36
  4. Step 4: Simplify right side
    75.44x = 7,410.02
  5. Step 5: Solve for x
    x = 7,410.02/75.44
  6. Step 6: Final answer
    x = 98.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.