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Finding the Fourth Proportional to 154.09, 212.65 and 85.09

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Solution

The fourth proportional to 154.09, 212.65 and 85.09 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 212.65 = 85.09 : x
  2. Step 2: Convert to fraction form
    154.09/212.65 = 85.09/x
  3. Step 3: Cross multiply
    154.09x = 212.65 × 85.09
  4. Step 4: Simplify right side
    154.09x = 18,094.39
  5. Step 5: Solve for x
    x = 18,094.39/154.09
  6. Step 6: Final answer
    x = 117.43

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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.