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Finding the Fourth Proportional to 54.14, 80.77 and 52.40

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Solution

The fourth proportional to 54.14, 80.77 and 52.40 is: 78.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.14 : 80.77 = 52.40 : x
  2. Step 2: Convert to fraction form
    54.14/80.77 = 52.40/x
  3. Step 3: Cross multiply
    54.14x = 80.77 × 52.40
  4. Step 4: Simplify right side
    54.14x = 4,232.35
  5. Step 5: Solve for x
    x = 4,232.35/54.14
  6. Step 6: Final answer
    x = 78.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.