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Finding the Fourth Proportional to 184.72, 254.90 and 106.06

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Solution

The fourth proportional to 184.72, 254.90 and 106.06 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 254.90 = 106.06 : x
  2. Step 2: Convert to fraction form
    184.72/254.90 = 106.06/x
  3. Step 3: Cross multiply
    184.72x = 254.90 × 106.06
  4. Step 4: Simplify right side
    184.72x = 27,034.69
  5. Step 5: Solve for x
    x = 27,034.69/184.72
  6. Step 6: Final answer
    x = 146.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.