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Finding the Fourth Proportional to 106.08, 146.48 and 101.22

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Solution

The fourth proportional to 106.08, 146.48 and 101.22 is: 139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.48 = 101.22 : x
  2. Step 2: Convert to fraction form
    106.08/146.48 = 101.22/x
  3. Step 3: Cross multiply
    106.08x = 146.48 × 101.22
  4. Step 4: Simplify right side
    106.08x = 14,826.20
  5. Step 5: Solve for x
    x = 14,826.20/106.08
  6. Step 6: Final answer
    x = 139.76

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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.