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Finding the Fourth Proportional to 54.95, 82.79 and 47.32

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Solution

The fourth proportional to 54.95, 82.79 and 47.32 is: 71.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 82.79 = 47.32 : x
  2. Step 2: Convert to fraction form
    54.95/82.79 = 47.32/x
  3. Step 3: Cross multiply
    54.95x = 82.79 × 47.32
  4. Step 4: Simplify right side
    54.95x = 3,917.36
  5. Step 5: Solve for x
    x = 3,917.36/54.95
  6. Step 6: Final answer
    x = 71.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.