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Finding the Fourth Proportional to 76.33, 114.29 and 57.03

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Solution

The fourth proportional to 76.33, 114.29 and 57.03 is: 85.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.33 : 114.29 = 57.03 : x
  2. Step 2: Convert to fraction form
    76.33/114.29 = 57.03/x
  3. Step 3: Cross multiply
    76.33x = 114.29 × 57.03
  4. Step 4: Simplify right side
    76.33x = 6,517.96
  5. Step 5: Solve for x
    x = 6,517.96/76.33
  6. Step 6: Final answer
    x = 85.39

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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.