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Finding the Fourth Proportional to 152.23, 209.86 and 96.94

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Solution

The fourth proportional to 152.23, 209.86 and 96.94 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 209.86 = 96.94 : x
  2. Step 2: Convert to fraction form
    152.23/209.86 = 96.94/x
  3. Step 3: Cross multiply
    152.23x = 209.86 × 96.94
  4. Step 4: Simplify right side
    152.23x = 20,343.83
  5. Step 5: Solve for x
    x = 20,343.83/152.23
  6. Step 6: Final answer
    x = 133.64

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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.