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Finding the Fourth Proportional to 152.94, 211.12 and 97.73

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Solution

The fourth proportional to 152.94, 211.12 and 97.73 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.94 : 211.12 = 97.73 : x
  2. Step 2: Convert to fraction form
    152.94/211.12 = 97.73/x
  3. Step 3: Cross multiply
    152.94x = 211.12 × 97.73
  4. Step 4: Simplify right side
    152.94x = 20,632.76
  5. Step 5: Solve for x
    x = 20,632.76/152.94
  6. Step 6: Final answer
    x = 134.91

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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.