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Finding the Fourth Proportional to 53.14, 80.08 and 50.65

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Solution

The fourth proportional to 53.14, 80.08 and 50.65 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 80.08 = 50.65 : x
  2. Step 2: Convert to fraction form
    53.14/80.08 = 50.65/x
  3. Step 3: Cross multiply
    53.14x = 80.08 × 50.65
  4. Step 4: Simplify right side
    53.14x = 4,056.05
  5. Step 5: Solve for x
    x = 4,056.05/53.14
  6. Step 6: Final answer
    x = 76.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.