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Finding the Fourth Proportional to 54.84, 81.80 and 52.16

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Solution

The fourth proportional to 54.84, 81.80 and 52.16 is: 77.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 81.80 = 52.16 : x
  2. Step 2: Convert to fraction form
    54.84/81.80 = 52.16/x
  3. Step 3: Cross multiply
    54.84x = 81.80 × 52.16
  4. Step 4: Simplify right side
    54.84x = 4,266.69
  5. Step 5: Solve for x
    x = 4,266.69/54.84
  6. Step 6: Final answer
    x = 77.80

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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.