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Finding the Fourth Proportional to 97.84, 146.49 and 70.66

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Solution

The fourth proportional to 97.84, 146.49 and 70.66 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 146.49 = 70.66 : x
  2. Step 2: Convert to fraction form
    97.84/146.49 = 70.66/x
  3. Step 3: Cross multiply
    97.84x = 146.49 × 70.66
  4. Step 4: Simplify right side
    97.84x = 10,350.98
  5. Step 5: Solve for x
    x = 10,350.98/97.84
  6. Step 6: Final answer
    x = 105.80

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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.