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Finding the Fourth Proportional to 97.77, 146.34 and 83.19

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Solution

The fourth proportional to 97.77, 146.34 and 83.19 is: 124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.77 : 146.34 = 83.19 : x
  2. Step 2: Convert to fraction form
    97.77/146.34 = 83.19/x
  3. Step 3: Cross multiply
    97.77x = 146.34 × 83.19
  4. Step 4: Simplify right side
    97.77x = 12,174.02
  5. Step 5: Solve for x
    x = 12,174.02/97.77
  6. Step 6: Final answer
    x = 124.52

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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.