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Finding the Fourth Proportional to 106.08, 146.51 and 83.05

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Solution

The fourth proportional to 106.08, 146.51 and 83.05 is: 114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.51 = 83.05 : x
  2. Step 2: Convert to fraction form
    106.08/146.51 = 83.05/x
  3. Step 3: Cross multiply
    106.08x = 146.51 × 83.05
  4. Step 4: Simplify right side
    106.08x = 12,167.66
  5. Step 5: Solve for x
    x = 12,167.66/106.08
  6. Step 6: Final answer
    x = 114.70

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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.