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Finding the Fourth Proportional to 106.20, 150.75 and 106.20

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Solution

The fourth proportional to 106.20, 150.75 and 106.20 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.20 : 150.75 = 106.20 : x
  2. Step 2: Convert to fraction form
    106.20/150.75 = 106.20/x
  3. Step 3: Cross multiply
    106.20x = 150.75 × 106.20
  4. Step 4: Simplify right side
    106.20x = 16,009.65
  5. Step 5: Solve for x
    x = 16,009.65/106.20
  6. Step 6: Final answer
    x = 150.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.