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Finding the Fourth Proportional to 76.42, 105.24 and 67.33

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Solution

The fourth proportional to 76.42, 105.24 and 67.33 is: 92.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 105.24 = 67.33 : x
  2. Step 2: Convert to fraction form
    76.42/105.24 = 67.33/x
  3. Step 3: Cross multiply
    76.42x = 105.24 × 67.33
  4. Step 4: Simplify right side
    76.42x = 7,085.81
  5. Step 5: Solve for x
    x = 7,085.81/76.42
  6. Step 6: Final answer
    x = 92.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.