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Finding the Fourth Proportional to 75.62, 113.52 and 43.58

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Solution

The fourth proportional to 75.62, 113.52 and 43.58 is: 65.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 113.52 = 43.58 : x
  2. Step 2: Convert to fraction form
    75.62/113.52 = 43.58/x
  3. Step 3: Cross multiply
    75.62x = 113.52 × 43.58
  4. Step 4: Simplify right side
    75.62x = 4,947.20
  5. Step 5: Solve for x
    x = 4,947.20/75.62
  6. Step 6: Final answer
    x = 65.42

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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.