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Finding the Fourth Proportional to 98.49, 146.86 and 94.44

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Solution

The fourth proportional to 98.49, 146.86 and 94.44 is: 140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.49 : 146.86 = 94.44 : x
  2. Step 2: Convert to fraction form
    98.49/146.86 = 94.44/x
  3. Step 3: Cross multiply
    98.49x = 146.86 × 94.44
  4. Step 4: Simplify right side
    98.49x = 13,869.46
  5. Step 5: Solve for x
    x = 13,869.46/98.49
  6. Step 6: Final answer
    x = 140.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.