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Finding the Fourth Proportional to 23.49, 32.46 and 22.47

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Solution

The fourth proportional to 23.49, 32.46 and 22.47 is: 31.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.49 : 32.46 = 22.47 : x
  2. Step 2: Convert to fraction form
    23.49/32.46 = 22.47/x
  3. Step 3: Cross multiply
    23.49x = 32.46 × 22.47
  4. Step 4: Simplify right side
    23.49x = 729.38
  5. Step 5: Solve for x
    x = 729.38/23.49
  6. Step 6: Final answer
    x = 31.05

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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.