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Finding the Fourth Proportional to 75.00, 103.46 and 54.24

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Solution

The fourth proportional to 75.00, 103.46 and 54.24 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.00 : 103.46 = 54.24 : x
  2. Step 2: Convert to fraction form
    75.00/103.46 = 54.24/x
  3. Step 3: Cross multiply
    75.00x = 103.46 × 54.24
  4. Step 4: Simplify right side
    75.00x = 5,611.67
  5. Step 5: Solve for x
    x = 5,611.67/75.00
  6. Step 6: Final answer
    x = 74.83

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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.