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Finding the Fourth Proportional to 46.50, 64.23 and 32.67

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Solution

The fourth proportional to 46.50, 64.23 and 32.67 is: 45.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 64.23 = 32.67 : x
  2. Step 2: Convert to fraction form
    46.50/64.23 = 32.67/x
  3. Step 3: Cross multiply
    46.50x = 64.23 × 32.67
  4. Step 4: Simplify right side
    46.50x = 2,098.39
  5. Step 5: Solve for x
    x = 2,098.39/46.50
  6. Step 6: Final answer
    x = 45.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.