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Finding the Fourth Proportional to 153.71, 211.97 and 97.64

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Solution

The fourth proportional to 153.71, 211.97 and 97.64 is: 134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.71 : 211.97 = 97.64 : x
  2. Step 2: Convert to fraction form
    153.71/211.97 = 97.64/x
  3. Step 3: Cross multiply
    153.71x = 211.97 × 97.64
  4. Step 4: Simplify right side
    153.71x = 20,695.94
  5. Step 5: Solve for x
    x = 20,695.94/153.71
  6. Step 6: Final answer
    x = 134.65

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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.