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Finding the Fourth Proportional to 152.12, 209.75 and 96.80

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Solution

The fourth proportional to 152.12, 209.75 and 96.80 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 209.75 = 96.80 : x
  2. Step 2: Convert to fraction form
    152.12/209.75 = 96.80/x
  3. Step 3: Cross multiply
    152.12x = 209.75 × 96.80
  4. Step 4: Simplify right side
    152.12x = 20,302.27
  5. Step 5: Solve for x
    x = 20,302.27/152.12
  6. Step 6: Final answer
    x = 133.47

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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.