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Finding the Fourth Proportional to 152.74, 210.89 and 109.09

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Solution

The fourth proportional to 152.74, 210.89 and 109.09 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 210.89 = 109.09 : x
  2. Step 2: Convert to fraction form
    152.74/210.89 = 109.09/x
  3. Step 3: Cross multiply
    152.74x = 210.89 × 109.09
  4. Step 4: Simplify right side
    152.74x = 23,004.39
  5. Step 5: Solve for x
    x = 23,004.39/152.74
  6. Step 6: Final answer
    x = 150.62

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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.