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Finding the Fourth Proportional to 152.73, 210.89 and 97.56

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Solution

The fourth proportional to 152.73, 210.89 and 97.56 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 210.89 = 97.56 : x
  2. Step 2: Convert to fraction form
    152.73/210.89 = 97.56/x
  3. Step 3: Cross multiply
    152.73x = 210.89 × 97.56
  4. Step 4: Simplify right side
    152.73x = 20,574.43
  5. Step 5: Solve for x
    x = 20,574.43/152.73
  6. Step 6: Final answer
    x = 134.71

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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.