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Finding the Fourth Proportional to 76.28, 114.32 and 47.42

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Solution

The fourth proportional to 76.28, 114.32 and 47.42 is: 71.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 114.32 = 47.42 : x
  2. Step 2: Convert to fraction form
    76.28/114.32 = 47.42/x
  3. Step 3: Cross multiply
    76.28x = 114.32 × 47.42
  4. Step 4: Simplify right side
    76.28x = 5,421.05
  5. Step 5: Solve for x
    x = 5,421.05/76.28
  6. Step 6: Final answer
    x = 71.07

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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.