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Finding the Fourth Proportional to 154.02, 212.50 and 101.67

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Solution

The fourth proportional to 154.02, 212.50 and 101.67 is: 140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 212.50 = 101.67 : x
  2. Step 2: Convert to fraction form
    154.02/212.50 = 101.67/x
  3. Step 3: Cross multiply
    154.02x = 212.50 × 101.67
  4. Step 4: Simplify right side
    154.02x = 21,604.88
  5. Step 5: Solve for x
    x = 21,604.88/154.02
  6. Step 6: Final answer
    x = 140.27

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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.