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Finding the Fourth Proportional to 123.96, 185.93 and 63.08

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Solution

The fourth proportional to 123.96, 185.93 and 63.08 is: 94.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 185.93 = 63.08 : x
  2. Step 2: Convert to fraction form
    123.96/185.93 = 63.08/x
  3. Step 3: Cross multiply
    123.96x = 185.93 × 63.08
  4. Step 4: Simplify right side
    123.96x = 11,728.15
  5. Step 5: Solve for x
    x = 11,728.15/123.96
  6. Step 6: Final answer
    x = 94.61

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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.