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Finding the Fourth Proportional to 76.38, 114.54 and 33.03

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Solution

The fourth proportional to 76.38, 114.54 and 33.03 is: 49.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 114.54 = 33.03 : x
  2. Step 2: Convert to fraction form
    76.38/114.54 = 33.03/x
  3. Step 3: Cross multiply
    76.38x = 114.54 × 33.03
  4. Step 4: Simplify right side
    76.38x = 3,783.26
  5. Step 5: Solve for x
    x = 3,783.26/76.38
  6. Step 6: Final answer
    x = 49.53

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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.