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Finding the Fourth Proportional to 76.88, 115.76 and 56.73

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Solution

The fourth proportional to 76.88, 115.76 and 56.73 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 115.76 = 56.73 : x
  2. Step 2: Convert to fraction form
    76.88/115.76 = 56.73/x
  3. Step 3: Cross multiply
    76.88x = 115.76 × 56.73
  4. Step 4: Simplify right side
    76.88x = 6,567.13
  5. Step 5: Solve for x
    x = 6,567.13/76.88
  6. Step 6: Final answer
    x = 85.42

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