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Finding the Fourth Proportional to 75.27, 112.71 and 53.57

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Solution

The fourth proportional to 75.27, 112.71 and 53.57 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.27 : 112.71 = 53.57 : x
  2. Step 2: Convert to fraction form
    75.27/112.71 = 53.57/x
  3. Step 3: Cross multiply
    75.27x = 112.71 × 53.57
  4. Step 4: Simplify right side
    75.27x = 6,037.31
  5. Step 5: Solve for x
    x = 6,037.31/75.27
  6. Step 6: Final answer
    x = 80.21

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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.