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Finding the Fourth Proportional to 51.20, 67.60 and 51.20

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Solution

The fourth proportional to 51.20, 67.60 and 51.20 is: 67.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.20 : 67.60 = 51.20 : x
  2. Step 2: Convert to fraction form
    51.20/67.60 = 51.20/x
  3. Step 3: Cross multiply
    51.20x = 67.60 × 51.20
  4. Step 4: Simplify right side
    51.20x = 3,461.12
  5. Step 5: Solve for x
    x = 3,461.12/51.20
  6. Step 6: Final answer
    x = 67.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.