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Finding the Fourth Proportional to 123.32, 184.10 and 107.06

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Solution

The fourth proportional to 123.32, 184.10 and 107.06 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 184.10 = 107.06 : x
  2. Step 2: Convert to fraction form
    123.32/184.10 = 107.06/x
  3. Step 3: Cross multiply
    123.32x = 184.10 × 107.06
  4. Step 4: Simplify right side
    123.32x = 19,709.75
  5. Step 5: Solve for x
    x = 19,709.75/123.32
  6. Step 6: Final answer
    x = 159.83

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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.