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Finding the Fourth Proportional to 32.67, 45 and 22.28

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Solution

The fourth proportional to 32.67, 45 and 22.28 is: 30.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.67 : 45 = 22.28 : x
  2. Step 2: Convert to fraction form
    32.67/45 = 22.28/x
  3. Step 3: Cross multiply
    32.67x = 45 × 22.28
  4. Step 4: Simplify right side
    32.67x = 1,002.38
  5. Step 5: Solve for x
    x = 1,002.38/32.67
  6. Step 6: Final answer
    x = 30.68

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1.5x scale

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.