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Finding the Fourth Proportional to 153.54, 211.94 and 104.67

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Solution

The fourth proportional to 153.54, 211.94 and 104.67 is: 144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 211.94 = 104.67 : x
  2. Step 2: Convert to fraction form
    153.54/211.94 = 104.67/x
  3. Step 3: Cross multiply
    153.54x = 211.94 × 104.67
  4. Step 4: Simplify right side
    153.54x = 22,183.76
  5. Step 5: Solve for x
    x = 22,183.76/153.54
  6. Step 6: Final answer
    x = 144.48

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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.