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Finding the Fourth Proportional to 152.73, 210.83 and 97.54

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Solution

The fourth proportional to 152.73, 210.83 and 97.54 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 210.83 = 97.54 : x
  2. Step 2: Convert to fraction form
    152.73/210.83 = 97.54/x
  3. Step 3: Cross multiply
    152.73x = 210.83 × 97.54
  4. Step 4: Simplify right side
    152.73x = 20,563.89
  5. Step 5: Solve for x
    x = 20,563.89/152.73
  6. Step 6: Final answer
    x = 134.64

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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.