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Finding the Fourth Proportional to 152.12, 209.84 and 96.84

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Solution

The fourth proportional to 152.12, 209.84 and 96.84 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 209.84 = 96.84 : x
  2. Step 2: Convert to fraction form
    152.12/209.84 = 96.84/x
  3. Step 3: Cross multiply
    152.12x = 209.84 × 96.84
  4. Step 4: Simplify right side
    152.12x = 20,320.42
  5. Step 5: Solve for x
    x = 20,320.42/152.12
  6. Step 6: Final answer
    x = 133.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.