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Finding the Fourth Proportional to 51.66, 70.78 and 48.92

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Solution

The fourth proportional to 51.66, 70.78 and 48.92 is: 67.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.66 : 70.78 = 48.92 : x
  2. Step 2: Convert to fraction form
    51.66/70.78 = 48.92/x
  3. Step 3: Cross multiply
    51.66x = 70.78 × 48.92
  4. Step 4: Simplify right side
    51.66x = 3,462.56
  5. Step 5: Solve for x
    x = 3,462.56/51.66
  6. Step 6: Final answer
    x = 67.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.