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Finding the Fourth Proportional to 123.30, 185.04 and 106.02

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Solution

The fourth proportional to 123.30, 185.04 and 106.02 is: 159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.30 : 185.04 = 106.02 : x
  2. Step 2: Convert to fraction form
    123.30/185.04 = 106.02/x
  3. Step 3: Cross multiply
    123.30x = 185.04 × 106.02
  4. Step 4: Simplify right side
    123.30x = 19,617.94
  5. Step 5: Solve for x
    x = 19,617.94/123.30
  6. Step 6: Final answer
    x = 159.11

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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.