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Finding the Fourth Proportional to 153.77, 211.97 and 120.97

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Solution

The fourth proportional to 153.77, 211.97 and 120.97 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 211.97 = 120.97 : x
  2. Step 2: Convert to fraction form
    153.77/211.97 = 120.97/x
  3. Step 3: Cross multiply
    153.77x = 211.97 × 120.97
  4. Step 4: Simplify right side
    153.77x = 25,640.35
  5. Step 5: Solve for x
    x = 25,640.35/153.77
  6. Step 6: Final answer
    x = 166.74

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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.