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Finding the Fourth Proportional to 75.03, 103.47 and 63.96

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Solution

The fourth proportional to 75.03, 103.47 and 63.96 is: 88.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.03 : 103.47 = 63.96 : x
  2. Step 2: Convert to fraction form
    75.03/103.47 = 63.96/x
  3. Step 3: Cross multiply
    75.03x = 103.47 × 63.96
  4. Step 4: Simplify right side
    75.03x = 6,617.94
  5. Step 5: Solve for x
    x = 6,617.94/75.03
  6. Step 6: Final answer
    x = 88.20

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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.