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Finding the Fourth Proportional to 51.45, 76.67 and 46.07

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Solution

The fourth proportional to 51.45, 76.67 and 46.07 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.45 : 76.67 = 46.07 : x
  2. Step 2: Convert to fraction form
    51.45/76.67 = 46.07/x
  3. Step 3: Cross multiply
    51.45x = 76.67 × 46.07
  4. Step 4: Simplify right side
    51.45x = 3,531.57
  5. Step 5: Solve for x
    x = 3,531.57/51.45
  6. Step 6: Final answer
    x = 68.64

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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.