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Finding the Fourth Proportional to 51.02, 76.18 and 42.02

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Solution

The fourth proportional to 51.02, 76.18 and 42.02 is: 62.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.02 : 76.18 = 42.02 : x
  2. Step 2: Convert to fraction form
    51.02/76.18 = 42.02/x
  3. Step 3: Cross multiply
    51.02x = 76.18 × 42.02
  4. Step 4: Simplify right side
    51.02x = 3,201.08
  5. Step 5: Solve for x
    x = 3,201.08/51.02
  6. Step 6: Final answer
    x = 62.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.