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Finding the Fourth Proportional to 51.15, 76.62 and 47.10

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Solution

The fourth proportional to 51.15, 76.62 and 47.10 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.15 : 76.62 = 47.10 : x
  2. Step 2: Convert to fraction form
    51.15/76.62 = 47.10/x
  3. Step 3: Cross multiply
    51.15x = 76.62 × 47.10
  4. Step 4: Simplify right side
    51.15x = 3,608.80
  5. Step 5: Solve for x
    x = 3,608.80/51.15
  6. Step 6: Final answer
    x = 70.55

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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.