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Finding the Fourth Proportional to 141.36, 195.08 and 106.32

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Solution

The fourth proportional to 141.36, 195.08 and 106.32 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.36 : 195.08 = 106.32 : x
  2. Step 2: Convert to fraction form
    141.36/195.08 = 106.32/x
  3. Step 3: Cross multiply
    141.36x = 195.08 × 106.32
  4. Step 4: Simplify right side
    141.36x = 20,740.37
  5. Step 5: Solve for x
    x = 20,740.37/141.36
  6. Step 6: Final answer
    x = 146.72

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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.