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Finding the Fourth Proportional to 184.06, 254.01 and 106.45

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Solution

The fourth proportional to 184.06, 254.01 and 106.45 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.06 : 254.01 = 106.45 : x
  2. Step 2: Convert to fraction form
    184.06/254.01 = 106.45/x
  3. Step 3: Cross multiply
    184.06x = 254.01 × 106.45
  4. Step 4: Simplify right side
    184.06x = 27,038.09
  5. Step 5: Solve for x
    x = 27,038.09/184.06
  6. Step 6: Final answer
    x = 146.90

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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.