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Finding the Fourth Proportional to 123.00, 169.76 and 96.83

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Solution

The fourth proportional to 123.00, 169.76 and 96.83 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.00 : 169.76 = 96.83 : x
  2. Step 2: Convert to fraction form
    123.00/169.76 = 96.83/x
  3. Step 3: Cross multiply
    123.00x = 169.76 × 96.83
  4. Step 4: Simplify right side
    123.00x = 16,437.89
  5. Step 5: Solve for x
    x = 16,437.89/123.00
  6. Step 6: Final answer
    x = 133.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.