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Finding the Fourth Proportional to 123.34, 184.13 and 105.12

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Solution

The fourth proportional to 123.34, 184.13 and 105.12 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 184.13 = 105.12 : x
  2. Step 2: Convert to fraction form
    123.34/184.13 = 105.12/x
  3. Step 3: Cross multiply
    123.34x = 184.13 × 105.12
  4. Step 4: Simplify right side
    123.34x = 19,355.75
  5. Step 5: Solve for x
    x = 19,355.75/123.34
  6. Step 6: Final answer
    x = 156.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.