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Finding the Fourth Proportional to 75.67, 113.51 and 48.54

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Solution

The fourth proportional to 75.67, 113.51 and 48.54 is: 72.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.67 : 113.51 = 48.54 : x
  2. Step 2: Convert to fraction form
    75.67/113.51 = 48.54/x
  3. Step 3: Cross multiply
    75.67x = 113.51 × 48.54
  4. Step 4: Simplify right side
    75.67x = 5,509.78
  5. Step 5: Solve for x
    x = 5,509.78/75.67
  6. Step 6: Final answer
    x = 72.81

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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.