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Finding the Fourth Proportional to 53.80, 80.72 and 26.72

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Solution

The fourth proportional to 53.80, 80.72 and 26.72 is: 40.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.80 : 80.72 = 26.72 : x
  2. Step 2: Convert to fraction form
    53.80/80.72 = 26.72/x
  3. Step 3: Cross multiply
    53.80x = 80.72 × 26.72
  4. Step 4: Simplify right side
    53.80x = 2,156.84
  5. Step 5: Solve for x
    x = 2,156.84/53.80
  6. Step 6: Final answer
    x = 40.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.