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Finding the Fourth Proportional to 51.14, 76.32 and 45.06

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Solution

The fourth proportional to 51.14, 76.32 and 45.06 is: 67.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 76.32 = 45.06 : x
  2. Step 2: Convert to fraction form
    51.14/76.32 = 45.06/x
  3. Step 3: Cross multiply
    51.14x = 76.32 × 45.06
  4. Step 4: Simplify right side
    51.14x = 3,439.15
  5. Step 5: Solve for x
    x = 3,439.15/51.14
  6. Step 6: Final answer
    x = 67.26

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Why These Related Problems?

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