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Finding the Fourth Proportional to 54.83, 82.32 and 47.23

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Solution

The fourth proportional to 54.83, 82.32 and 47.23 is: 70.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.83 : 82.32 = 47.23 : x
  2. Step 2: Convert to fraction form
    54.83/82.32 = 47.23/x
  3. Step 3: Cross multiply
    54.83x = 82.32 × 47.23
  4. Step 4: Simplify right side
    54.83x = 3,888.05
  5. Step 5: Solve for x
    x = 3,888.05/54.83
  6. Step 6: Final answer
    x = 70.92

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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.