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Finding the Fourth Proportional to 53.48, 80.17 and 23.07

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Solution

The fourth proportional to 53.48, 80.17 and 23.07 is: 34.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.48 : 80.17 = 23.07 : x
  2. Step 2: Convert to fraction form
    53.48/80.17 = 23.07/x
  3. Step 3: Cross multiply
    53.48x = 80.17 × 23.07
  4. Step 4: Simplify right side
    53.48x = 1,849.12
  5. Step 5: Solve for x
    x = 1,849.12/53.48
  6. Step 6: Final answer
    x = 34.58

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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.