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Finding the Fourth Proportional to 76.44, 114.56 and 59.25

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Solution

The fourth proportional to 76.44, 114.56 and 59.25 is: 88.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 114.56 = 59.25 : x
  2. Step 2: Convert to fraction form
    76.44/114.56 = 59.25/x
  3. Step 3: Cross multiply
    76.44x = 114.56 × 59.25
  4. Step 4: Simplify right side
    76.44x = 6,787.38
  5. Step 5: Solve for x
    x = 6,787.38/76.44
  6. Step 6: Final answer
    x = 88.79

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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.