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Finding the Fourth Proportional to 106.72, 146.36 and 106.72

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Solution

The fourth proportional to 106.72, 146.36 and 106.72 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.72 : 146.36 = 106.72 : x
  2. Step 2: Convert to fraction form
    106.72/146.36 = 106.72/x
  3. Step 3: Cross multiply
    106.72x = 146.36 × 106.72
  4. Step 4: Simplify right side
    106.72x = 15,619.54
  5. Step 5: Solve for x
    x = 15,619.54/106.72
  6. Step 6: Final answer
    x = 146.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.