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Finding the Fourth Proportional to 54.95, 82.35 and 32.09

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Solution

The fourth proportional to 54.95, 82.35 and 32.09 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 82.35 = 32.09 : x
  2. Step 2: Convert to fraction form
    54.95/82.35 = 32.09/x
  3. Step 3: Cross multiply
    54.95x = 82.35 × 32.09
  4. Step 4: Simplify right side
    54.95x = 2,642.20
  5. Step 5: Solve for x
    x = 2,642.20/54.95
  6. Step 6: Final answer
    x = 48.09

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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.