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Finding the Fourth Proportional to 106.34, 146.75 and 69.60

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Solution

The fourth proportional to 106.34, 146.75 and 69.60 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 146.75 = 69.60 : x
  2. Step 2: Convert to fraction form
    106.34/146.75 = 69.60/x
  3. Step 3: Cross multiply
    106.34x = 146.75 × 69.60
  4. Step 4: Simplify right side
    106.34x = 10,213.80
  5. Step 5: Solve for x
    x = 10,213.80/106.34
  6. Step 6: Final answer
    x = 96.05

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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.