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Finding the Fourth Proportional to 153.96, 212.33 and 104.90

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Solution

The fourth proportional to 153.96, 212.33 and 104.90 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 212.33 = 104.90 : x
  2. Step 2: Convert to fraction form
    153.96/212.33 = 104.90/x
  3. Step 3: Cross multiply
    153.96x = 212.33 × 104.90
  4. Step 4: Simplify right side
    153.96x = 22,273.42
  5. Step 5: Solve for x
    x = 22,273.42/153.96
  6. Step 6: Final answer
    x = 144.67

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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.