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Finding the Fourth Proportional to 106.04, 146.36 and 82.71

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Solution

The fourth proportional to 106.04, 146.36 and 82.71 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 146.36 = 82.71 : x
  2. Step 2: Convert to fraction form
    106.04/146.36 = 82.71/x
  3. Step 3: Cross multiply
    106.04x = 146.36 × 82.71
  4. Step 4: Simplify right side
    106.04x = 12,105.64
  5. Step 5: Solve for x
    x = 12,105.64/106.04
  6. Step 6: Final answer
    x = 114.16

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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.