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Finding the Fourth Proportional to 30.45, 45.64 and 23.67

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Solution

The fourth proportional to 30.45, 45.64 and 23.67 is: 35.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.45 : 45.64 = 23.67 : x
  2. Step 2: Convert to fraction form
    30.45/45.64 = 23.67/x
  3. Step 3: Cross multiply
    30.45x = 45.64 × 23.67
  4. Step 4: Simplify right side
    30.45x = 1,080.30
  5. Step 5: Solve for x
    x = 1,080.30/30.45
  6. Step 6: Final answer
    x = 35.48

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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.