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Finding the Fourth Proportional to 76.78, 115.03 and 73.77

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Solution

The fourth proportional to 76.78, 115.03 and 73.77 is: 110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 115.03 = 73.77 : x
  2. Step 2: Convert to fraction form
    76.78/115.03 = 73.77/x
  3. Step 3: Cross multiply
    76.78x = 115.03 × 73.77
  4. Step 4: Simplify right side
    76.78x = 8,485.76
  5. Step 5: Solve for x
    x = 8,485.76/76.78
  6. Step 6: Final answer
    x = 110.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.