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Finding the Fourth Proportional to 141.84, 213 and 110.04

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Solution

The fourth proportional to 141.84, 213 and 110.04 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 213 = 110.04 : x
  2. Step 2: Convert to fraction form
    141.84/213 = 110.04/x
  3. Step 3: Cross multiply
    141.84x = 213 × 110.04
  4. Step 4: Simplify right side
    141.84x = 23,438.52
  5. Step 5: Solve for x
    x = 23,438.52/141.84
  6. Step 6: Final answer
    x = 165.25

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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.