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Finding the Fourth Proportional to 106.34, 146.78 and 75.33

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Solution

The fourth proportional to 106.34, 146.78 and 75.33 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 146.78 = 75.33 : x
  2. Step 2: Convert to fraction form
    106.34/146.78 = 75.33/x
  3. Step 3: Cross multiply
    106.34x = 146.78 × 75.33
  4. Step 4: Simplify right side
    106.34x = 11,056.01
  5. Step 5: Solve for x
    x = 11,056.01/106.34
  6. Step 6: Final answer
    x = 103.97

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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.