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Finding the Fourth Proportional to 54.31, 75 and 35.95

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Solution

The fourth proportional to 54.31, 75 and 35.95 is: 49.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 75 = 35.95 : x
  2. Step 2: Convert to fraction form
    54.31/75 = 35.95/x
  3. Step 3: Cross multiply
    54.31x = 75 × 35.95
  4. Step 4: Simplify right side
    54.31x = 2,695.88
  5. Step 5: Solve for x
    x = 2,695.88/54.31
  6. Step 6: Final answer
    x = 49.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.