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Finding the Fourth Proportional to 76.13, 114.33 and 49.13

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Solution

The fourth proportional to 76.13, 114.33 and 49.13 is: 73.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 114.33 = 49.13 : x
  2. Step 2: Convert to fraction form
    76.13/114.33 = 49.13/x
  3. Step 3: Cross multiply
    76.13x = 114.33 × 49.13
  4. Step 4: Simplify right side
    76.13x = 5,617.03
  5. Step 5: Solve for x
    x = 5,617.03/76.13
  6. Step 6: Final answer
    x = 73.78

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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.