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Finding the Fourth Proportional to 76.95, 115.47 and 54.06

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Solution

The fourth proportional to 76.95, 115.47 and 54.06 is: 81.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.95 : 115.47 = 54.06 : x
  2. Step 2: Convert to fraction form
    76.95/115.47 = 54.06/x
  3. Step 3: Cross multiply
    76.95x = 115.47 × 54.06
  4. Step 4: Simplify right side
    76.95x = 6,242.31
  5. Step 5: Solve for x
    x = 6,242.31/76.95
  6. Step 6: Final answer
    x = 81.12

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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.