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Finding the Fourth Proportional to 123.83, 185.57 and 69.45

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Solution

The fourth proportional to 123.83, 185.57 and 69.45 is: 104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 185.57 = 69.45 : x
  2. Step 2: Convert to fraction form
    123.83/185.57 = 69.45/x
  3. Step 3: Cross multiply
    123.83x = 185.57 × 69.45
  4. Step 4: Simplify right side
    123.83x = 12,887.03
  5. Step 5: Solve for x
    x = 12,887.03/123.83
  6. Step 6: Final answer
    x = 104.07

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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.