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Finding the Fourth Proportional to 97.49, 146.23 and 83.01

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Solution

The fourth proportional to 97.49, 146.23 and 83.01 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.49 : 146.23 = 83.01 : x
  2. Step 2: Convert to fraction form
    97.49/146.23 = 83.01/x
  3. Step 3: Cross multiply
    97.49x = 146.23 × 83.01
  4. Step 4: Simplify right side
    97.49x = 12,138.07
  5. Step 5: Solve for x
    x = 12,138.07/97.49
  6. Step 6: Final answer
    x = 124.51

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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.