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Finding the Fourth Proportional to 75.81, 113.65 and 47.25

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Solution

The fourth proportional to 75.81, 113.65 and 47.25 is: 70.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 113.65 = 47.25 : x
  2. Step 2: Convert to fraction form
    75.81/113.65 = 47.25/x
  3. Step 3: Cross multiply
    75.81x = 113.65 × 47.25
  4. Step 4: Simplify right side
    75.81x = 5,369.96
  5. Step 5: Solve for x
    x = 5,369.96/75.81
  6. Step 6: Final answer
    x = 70.83

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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.