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Finding the Fourth Proportional to 7.32, 11 and 4.67

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Solution

The fourth proportional to 7.32, 11 and 4.67 is: 7.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.32 : 11 = 4.67 : x
  2. Step 2: Convert to fraction form
    7.32/11 = 4.67/x
  3. Step 3: Cross multiply
    7.32x = 11 × 4.67
  4. Step 4: Simplify right side
    7.32x = 51.37
  5. Step 5: Solve for x
    x = 51.37/7.32
  6. Step 6: Final answer
    x = 7.02

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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.