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Finding the Fourth Proportional to 154.23, 212.90 and 101.85

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Solution

The fourth proportional to 154.23, 212.90 and 101.85 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.23 : 212.90 = 101.85 : x
  2. Step 2: Convert to fraction form
    154.23/212.90 = 101.85/x
  3. Step 3: Cross multiply
    154.23x = 212.90 × 101.85
  4. Step 4: Simplify right side
    154.23x = 21,683.36
  5. Step 5: Solve for x
    x = 21,683.36/154.23
  6. Step 6: Final answer
    x = 140.59

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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.