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Finding the Fourth Proportional to 153.74, 211.92 and 120.98

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Solution

The fourth proportional to 153.74, 211.92 and 120.98 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.74 : 211.92 = 120.98 : x
  2. Step 2: Convert to fraction form
    153.74/211.92 = 120.98/x
  3. Step 3: Cross multiply
    153.74x = 211.92 × 120.98
  4. Step 4: Simplify right side
    153.74x = 25,638.08
  5. Step 5: Solve for x
    x = 25,638.08/153.74
  6. Step 6: Final answer
    x = 166.76

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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.