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Finding the Fourth Proportional to 43.29, 65.03 and 32.67

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Solution

The fourth proportional to 43.29, 65.03 and 32.67 is: 49.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.29 : 65.03 = 32.67 : x
  2. Step 2: Convert to fraction form
    43.29/65.03 = 32.67/x
  3. Step 3: Cross multiply
    43.29x = 65.03 × 32.67
  4. Step 4: Simplify right side
    43.29x = 2,124.37
  5. Step 5: Solve for x
    x = 2,124.37/43.29
  6. Step 6: Final answer
    x = 49.07

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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.