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Finding the Fourth Proportional to 53.10, 80.10 and 50.70

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Solution

The fourth proportional to 53.10, 80.10 and 50.70 is: 76.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 80.10 = 50.70 : x
  2. Step 2: Convert to fraction form
    53.10/80.10 = 50.70/x
  3. Step 3: Cross multiply
    53.10x = 80.10 × 50.70
  4. Step 4: Simplify right side
    53.10x = 4,061.07
  5. Step 5: Solve for x
    x = 4,061.07/53.10
  6. Step 6: Final answer
    x = 76.48

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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.