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Finding the Fourth Proportional to 75.28, 112.68 and 53.84

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Solution

The fourth proportional to 75.28, 112.68 and 53.84 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 112.68 = 53.84 : x
  2. Step 2: Convert to fraction form
    75.28/112.68 = 53.84/x
  3. Step 3: Cross multiply
    75.28x = 112.68 × 53.84
  4. Step 4: Simplify right side
    75.28x = 6,066.69
  5. Step 5: Solve for x
    x = 6,066.69/75.28
  6. Step 6: Final answer
    x = 80.59

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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.