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Finding the Fourth Proportional to 76.62, 114.84 and 49.12

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Solution

The fourth proportional to 76.62, 114.84 and 49.12 is: 73.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 114.84 = 49.12 : x
  2. Step 2: Convert to fraction form
    76.62/114.84 = 49.12/x
  3. Step 3: Cross multiply
    76.62x = 114.84 × 49.12
  4. Step 4: Simplify right side
    76.62x = 5,640.94
  5. Step 5: Solve for x
    x = 5,640.94/76.62
  6. Step 6: Final answer
    x = 73.62

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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.