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Finding the Fourth Proportional to 76.51, 115.21 and 57.39

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Solution

The fourth proportional to 76.51, 115.21 and 57.39 is: 86.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.51 : 115.21 = 57.39 : x
  2. Step 2: Convert to fraction form
    76.51/115.21 = 57.39/x
  3. Step 3: Cross multiply
    76.51x = 115.21 × 57.39
  4. Step 4: Simplify right side
    76.51x = 6,611.90
  5. Step 5: Solve for x
    x = 6,611.90/76.51
  6. Step 6: Final answer
    x = 86.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.