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Finding the Fourth Proportional to 152.92, 211.02 and 97.66

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Solution

The fourth proportional to 152.92, 211.02 and 97.66 is: 134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 211.02 = 97.66 : x
  2. Step 2: Convert to fraction form
    152.92/211.02 = 97.66/x
  3. Step 3: Cross multiply
    152.92x = 211.02 × 97.66
  4. Step 4: Simplify right side
    152.92x = 20,608.21
  5. Step 5: Solve for x
    x = 20,608.21/152.92
  6. Step 6: Final answer
    x = 134.76

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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.