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Finding the Fourth Proportional to 76.67, 114.97 and 24.60

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Solution

The fourth proportional to 76.67, 114.97 and 24.60 is: 36.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 114.97 = 24.60 : x
  2. Step 2: Convert to fraction form
    76.67/114.97 = 24.60/x
  3. Step 3: Cross multiply
    76.67x = 114.97 × 24.60
  4. Step 4: Simplify right side
    76.67x = 2,828.26
  5. Step 5: Solve for x
    x = 2,828.26/76.67
  6. Step 6: Final answer
    x = 36.89

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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.