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Finding the Fourth Proportional to 106.08, 146.48 and 75.13

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Solution

The fourth proportional to 106.08, 146.48 and 75.13 is: 103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.48 = 75.13 : x
  2. Step 2: Convert to fraction form
    106.08/146.48 = 75.13/x
  3. Step 3: Cross multiply
    106.08x = 146.48 × 75.13
  4. Step 4: Simplify right side
    106.08x = 11,004.30
  5. Step 5: Solve for x
    x = 11,004.30/106.08
  6. Step 6: Final answer
    x = 103.74

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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.