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Finding the Fourth Proportional to 51.18, 76.94 and 47.42

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Solution

The fourth proportional to 51.18, 76.94 and 47.42 is: 71.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.18 : 76.94 = 47.42 : x
  2. Step 2: Convert to fraction form
    51.18/76.94 = 47.42/x
  3. Step 3: Cross multiply
    51.18x = 76.94 × 47.42
  4. Step 4: Simplify right side
    51.18x = 3,648.26
  5. Step 5: Solve for x
    x = 3,648.26/51.18
  6. Step 6: Final answer
    x = 71.28

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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.