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Finding the Fourth Proportional to 152.12, 209.97 and 96.90

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Solution

The fourth proportional to 152.12, 209.97 and 96.90 is: 133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 209.97 = 96.90 : x
  2. Step 2: Convert to fraction form
    152.12/209.97 = 96.90/x
  3. Step 3: Cross multiply
    152.12x = 209.97 × 96.90
  4. Step 4: Simplify right side
    152.12x = 20,346.09
  5. Step 5: Solve for x
    x = 20,346.09/152.12
  6. Step 6: Final answer
    x = 133.75

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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.