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Finding the Fourth Proportional to 141.64, 195.46 and 79.47

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Solution

The fourth proportional to 141.64, 195.46 and 79.47 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 195.46 = 79.47 : x
  2. Step 2: Convert to fraction form
    141.64/195.46 = 79.47/x
  3. Step 3: Cross multiply
    141.64x = 195.46 × 79.47
  4. Step 4: Simplify right side
    141.64x = 15,533.21
  5. Step 5: Solve for x
    x = 15,533.21/141.64
  6. Step 6: Final answer
    x = 109.67

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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.