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Finding the Fourth Proportional to 75.64, 113.46 and 54.28

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Solution

The fourth proportional to 75.64, 113.46 and 54.28 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 113.46 = 54.28 : x
  2. Step 2: Convert to fraction form
    75.64/113.46 = 54.28/x
  3. Step 3: Cross multiply
    75.64x = 113.46 × 54.28
  4. Step 4: Simplify right side
    75.64x = 6,158.61
  5. Step 5: Solve for x
    x = 6,158.61/75.64
  6. Step 6: Final answer
    x = 81.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.