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Finding the Fourth Proportional to 152.85, 210.91 and 97.62

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Solution

The fourth proportional to 152.85, 210.91 and 97.62 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.85 : 210.91 = 97.62 : x
  2. Step 2: Convert to fraction form
    152.85/210.91 = 97.62/x
  3. Step 3: Cross multiply
    152.85x = 210.91 × 97.62
  4. Step 4: Simplify right side
    152.85x = 20,589.03
  5. Step 5: Solve for x
    x = 20,589.03/152.85
  6. Step 6: Final answer
    x = 134.70

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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.