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Finding the Fourth Proportional to 53.65, 80.34 and 34.28

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Solution

The fourth proportional to 53.65, 80.34 and 34.28 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 80.34 = 34.28 : x
  2. Step 2: Convert to fraction form
    53.65/80.34 = 34.28/x
  3. Step 3: Cross multiply
    53.65x = 80.34 × 34.28
  4. Step 4: Simplify right side
    53.65x = 2,754.06
  5. Step 5: Solve for x
    x = 2,754.06/53.65
  6. Step 6: Final answer
    x = 51.33

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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.