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Finding the Fourth Proportional to 153.63, 211.96 and 91.49

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Solution

The fourth proportional to 153.63, 211.96 and 91.49 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 211.96 = 91.49 : x
  2. Step 2: Convert to fraction form
    153.63/211.96 = 91.49/x
  3. Step 3: Cross multiply
    153.63x = 211.96 × 91.49
  4. Step 4: Simplify right side
    153.63x = 19,390.93
  5. Step 5: Solve for x
    x = 19,390.93/153.63
  6. Step 6: Final answer
    x = 126.22

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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.