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Finding the Fourth Proportional to 71.44, 98.54 and 49.60

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Solution

The fourth proportional to 71.44, 98.54 and 49.60 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.44 : 98.54 = 49.60 : x
  2. Step 2: Convert to fraction form
    71.44/98.54 = 49.60/x
  3. Step 3: Cross multiply
    71.44x = 98.54 × 49.60
  4. Step 4: Simplify right side
    71.44x = 4,887.58
  5. Step 5: Solve for x
    x = 4,887.58/71.44
  6. Step 6: Final answer
    x = 68.42

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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.