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Finding the Fourth Proportional to 134.10, 184.98 and 106.44

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Solution

The fourth proportional to 134.10, 184.98 and 106.44 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.10 : 184.98 = 106.44 : x
  2. Step 2: Convert to fraction form
    134.10/184.98 = 106.44/x
  3. Step 3: Cross multiply
    134.10x = 184.98 × 106.44
  4. Step 4: Simplify right side
    134.10x = 19,689.27
  5. Step 5: Solve for x
    x = 19,689.27/134.10
  6. Step 6: Final answer
    x = 146.83

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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.