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Finding the Fourth Proportional to 55.12, 82.75 and 54.88

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Solution

The fourth proportional to 55.12, 82.75 and 54.88 is: 82.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.12 : 82.75 = 54.88 : x
  2. Step 2: Convert to fraction form
    55.12/82.75 = 54.88/x
  3. Step 3: Cross multiply
    55.12x = 82.75 × 54.88
  4. Step 4: Simplify right side
    55.12x = 4,541.32
  5. Step 5: Solve for x
    x = 4,541.32/55.12
  6. Step 6: Final answer
    x = 82.39

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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.