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Finding the Fourth Proportional to 106.32, 146.36 and 102.64

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Solution

The fourth proportional to 106.32, 146.36 and 102.64 is: 141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.32 : 146.36 = 102.64 : x
  2. Step 2: Convert to fraction form
    106.32/146.36 = 102.64/x
  3. Step 3: Cross multiply
    106.32x = 146.36 × 102.64
  4. Step 4: Simplify right side
    106.32x = 15,022.39
  5. Step 5: Solve for x
    x = 15,022.39/106.32
  6. Step 6: Final answer
    x = 141.29

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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.