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Finding the Fourth Proportional to 49.03, 67.65 and 32.67

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Solution

The fourth proportional to 49.03, 67.65 and 32.67 is: 45.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.03 : 67.65 = 32.67 : x
  2. Step 2: Convert to fraction form
    49.03/67.65 = 32.67/x
  3. Step 3: Cross multiply
    49.03x = 67.65 × 32.67
  4. Step 4: Simplify right side
    49.03x = 2,210.13
  5. Step 5: Solve for x
    x = 2,210.13/49.03
  6. Step 6: Final answer
    x = 45.08

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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.