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Finding the Fourth Proportional to 52.80, 80.40 and 52.80

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Solution

The fourth proportional to 52.80, 80.40 and 52.80 is: 80.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 80.40 = 52.80 : x
  2. Step 2: Convert to fraction form
    52.80/80.40 = 52.80/x
  3. Step 3: Cross multiply
    52.80x = 80.40 × 52.80
  4. Step 4: Simplify right side
    52.80x = 4,245.12
  5. Step 5: Solve for x
    x = 4,245.12/52.80
  6. Step 6: Final answer
    x = 80.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.