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Finding the Fourth Proportional to 75.52, 112.32 and 71.84

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Solution

The fourth proportional to 75.52, 112.32 and 71.84 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.52 : 112.32 = 71.84 : x
  2. Step 2: Convert to fraction form
    75.52/112.32 = 71.84/x
  3. Step 3: Cross multiply
    75.52x = 112.32 × 71.84
  4. Step 4: Simplify right side
    75.52x = 8,069.07
  5. Step 5: Solve for x
    x = 8,069.07/75.52
  6. Step 6: Final answer
    x = 106.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.