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Finding the Fourth Proportional to 132.77, 199.29 and 102.67

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Solution

The fourth proportional to 132.77, 199.29 and 102.67 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 199.29 = 102.67 : x
  2. Step 2: Convert to fraction form
    132.77/199.29 = 102.67/x
  3. Step 3: Cross multiply
    132.77x = 199.29 × 102.67
  4. Step 4: Simplify right side
    132.77x = 20,460.99
  5. Step 5: Solve for x
    x = 20,460.99/132.77
  6. Step 6: Final answer
    x = 154.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.