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Finding the Fourth Proportional to 53.47, 80.24 and 23.05

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Solution

The fourth proportional to 53.47, 80.24 and 23.05 is: 34.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.47 : 80.24 = 23.05 : x
  2. Step 2: Convert to fraction form
    53.47/80.24 = 23.05/x
  3. Step 3: Cross multiply
    53.47x = 80.24 × 23.05
  4. Step 4: Simplify right side
    53.47x = 1,849.22
  5. Step 5: Solve for x
    x = 1,849.22/53.47
  6. Step 6: Final answer
    x = 34.59

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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.