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Finding the Fourth Proportional to 71.63, 98.84 and 40.54

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Solution

The fourth proportional to 71.63, 98.84 and 40.54 is: 55.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 98.84 = 40.54 : x
  2. Step 2: Convert to fraction form
    71.63/98.84 = 40.54/x
  3. Step 3: Cross multiply
    71.63x = 98.84 × 40.54
  4. Step 4: Simplify right side
    71.63x = 4,006.97
  5. Step 5: Solve for x
    x = 4,006.97/71.63
  6. Step 6: Final answer
    x = 55.94

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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.