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Finding the Fourth Proportional to 106.46, 146.78 and 93.22

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Solution

The fourth proportional to 106.46, 146.78 and 93.22 is: 128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 146.78 = 93.22 : x
  2. Step 2: Convert to fraction form
    106.46/146.78 = 93.22/x
  3. Step 3: Cross multiply
    106.46x = 146.78 × 93.22
  4. Step 4: Simplify right side
    106.46x = 13,682.83
  5. Step 5: Solve for x
    x = 13,682.83/106.46
  6. Step 6: Final answer
    x = 128.53

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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.