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Finding the Fourth Proportional to 123.40, 184.86 and 69.22

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Solution

The fourth proportional to 123.40, 184.86 and 69.22 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 184.86 = 69.22 : x
  2. Step 2: Convert to fraction form
    123.40/184.86 = 69.22/x
  3. Step 3: Cross multiply
    123.40x = 184.86 × 69.22
  4. Step 4: Simplify right side
    123.40x = 12,796.01
  5. Step 5: Solve for x
    x = 12,796.01/123.40
  6. Step 6: Final answer
    x = 103.70

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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.