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Finding the Fourth Proportional to 152.75, 210.74 and 97.54

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Solution

The fourth proportional to 152.75, 210.74 and 97.54 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.75 : 210.74 = 97.54 : x
  2. Step 2: Convert to fraction form
    152.75/210.74 = 97.54/x
  3. Step 3: Cross multiply
    152.75x = 210.74 × 97.54
  4. Step 4: Simplify right side
    152.75x = 20,554.57
  5. Step 5: Solve for x
    x = 20,554.57/152.75
  6. Step 6: Final answer
    x = 134.56

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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.