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Finding the Fourth Proportional to 98.69, 146.72 and 95.78

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Solution

The fourth proportional to 98.69, 146.72 and 95.78 is: 142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.69 : 146.72 = 95.78 : x
  2. Step 2: Convert to fraction form
    98.69/146.72 = 95.78/x
  3. Step 3: Cross multiply
    98.69x = 146.72 × 95.78
  4. Step 4: Simplify right side
    98.69x = 14,052.73
  5. Step 5: Solve for x
    x = 14,052.73/98.69
  6. Step 6: Final answer
    x = 142.39

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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.