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Finding the Fourth Proportional to 76.47, 114.69 and 33.13

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Solution

The fourth proportional to 76.47, 114.69 and 33.13 is: 49.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.47 : 114.69 = 33.13 : x
  2. Step 2: Convert to fraction form
    76.47/114.69 = 33.13/x
  3. Step 3: Cross multiply
    76.47x = 114.69 × 33.13
  4. Step 4: Simplify right side
    76.47x = 3,799.30
  5. Step 5: Solve for x
    x = 3,799.30/76.47
  6. Step 6: Final answer
    x = 49.69

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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.