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Finding the Fourth Proportional to 97.88, 146.88 and 49.82

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Solution

The fourth proportional to 97.88, 146.88 and 49.82 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 146.88 = 49.82 : x
  2. Step 2: Convert to fraction form
    97.88/146.88 = 49.82/x
  3. Step 3: Cross multiply
    97.88x = 146.88 × 49.82
  4. Step 4: Simplify right side
    97.88x = 7,316.83
  5. Step 5: Solve for x
    x = 7,316.83/97.88
  6. Step 6: Final answer
    x = 74.76

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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.