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Finding the Fourth Proportional to 97.51, 146.30 and 82.43

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Solution

The fourth proportional to 97.51, 146.30 and 82.43 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.51 : 146.30 = 82.43 : x
  2. Step 2: Convert to fraction form
    97.51/146.30 = 82.43/x
  3. Step 3: Cross multiply
    97.51x = 146.30 × 82.43
  4. Step 4: Simplify right side
    97.51x = 12,059.46
  5. Step 5: Solve for x
    x = 12,059.46/97.51
  6. Step 6: Final answer
    x = 123.68

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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.