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Finding the Fourth Proportional to 141.64, 212.10 and 109.60

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Solution

The fourth proportional to 141.64, 212.10 and 109.60 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 212.10 = 109.60 : x
  2. Step 2: Convert to fraction form
    141.64/212.10 = 109.60/x
  3. Step 3: Cross multiply
    141.64x = 212.10 × 109.60
  4. Step 4: Simplify right side
    141.64x = 23,246.16
  5. Step 5: Solve for x
    x = 23,246.16/141.64
  6. Step 6: Final answer
    x = 164.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.