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Finding the Fourth Proportional to 22.40, 32.99 and 22.40

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Solution

The fourth proportional to 22.40, 32.99 and 22.40 is: 32.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.40 : 32.99 = 22.40 : x
  2. Step 2: Convert to fraction form
    22.40/32.99 = 22.40/x
  3. Step 3: Cross multiply
    22.40x = 32.99 × 22.40
  4. Step 4: Simplify right side
    22.40x = 738.98
  5. Step 5: Solve for x
    x = 738.98/22.40
  6. Step 6: Final answer
    x = 32.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.