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Finding the Fourth Proportional to 123.12, 184.14 and 68.76

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Solution

The fourth proportional to 123.12, 184.14 and 68.76 is: 102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.12 : 184.14 = 68.76 : x
  2. Step 2: Convert to fraction form
    123.12/184.14 = 68.76/x
  3. Step 3: Cross multiply
    123.12x = 184.14 × 68.76
  4. Step 4: Simplify right side
    123.12x = 12,661.47
  5. Step 5: Solve for x
    x = 12,661.47/123.12
  6. Step 6: Final answer
    x = 102.84

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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.