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Finding the Fourth Proportional to 24.04, 32.99 and 22.78

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Solution

The fourth proportional to 24.04, 32.99 and 22.78 is: 31.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.04 : 32.99 = 22.78 : x
  2. Step 2: Convert to fraction form
    24.04/32.99 = 22.78/x
  3. Step 3: Cross multiply
    24.04x = 32.99 × 22.78
  4. Step 4: Simplify right side
    24.04x = 751.51
  5. Step 5: Solve for x
    x = 751.51/24.04
  6. Step 6: Final answer
    x = 31.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.