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Finding the Fourth Proportional to 134.00, 184.83 and 106.31

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Solution

The fourth proportional to 134.00, 184.83 and 106.31 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.00 : 184.83 = 106.31 : x
  2. Step 2: Convert to fraction form
    134.00/184.83 = 106.31/x
  3. Step 3: Cross multiply
    134.00x = 184.83 × 106.31
  4. Step 4: Simplify right side
    134.00x = 19,649.94
  5. Step 5: Solve for x
    x = 19,649.94/134.00
  6. Step 6: Final answer
    x = 146.64

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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.