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Finding the Fourth Proportional to 320.21, 480.32 and 89.11

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Solution

The fourth proportional to 320.21, 480.32 and 89.11 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.21 : 480.32 = 89.11 : x
  2. Step 2: Convert to fraction form
    320.21/480.32 = 89.11/x
  3. Step 3: Cross multiply
    320.21x = 480.32 × 89.11
  4. Step 4: Simplify right side
    320.21x = 42,800.87
  5. Step 5: Solve for x
    x = 42,800.87/320.21
  6. Step 6: Final answer
    x = 133.67

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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.