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Finding the Fourth Proportional to 184.13, 254.10 and 106.55

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Solution

The fourth proportional to 184.13, 254.10 and 106.55 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.13 : 254.10 = 106.55 : x
  2. Step 2: Convert to fraction form
    184.13/254.10 = 106.55/x
  3. Step 3: Cross multiply
    184.13x = 254.10 × 106.55
  4. Step 4: Simplify right side
    184.13x = 27,072.55
  5. Step 5: Solve for x
    x = 27,072.55/184.13
  6. Step 6: Final answer
    x = 147.03

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