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Finding the Fourth Proportional to 24.04, 32.96 and 23.64

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Solution

The fourth proportional to 24.04, 32.96 and 23.64 is: 32.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.04 : 32.96 = 23.64 : x
  2. Step 2: Convert to fraction form
    24.04/32.96 = 23.64/x
  3. Step 3: Cross multiply
    24.04x = 32.96 × 23.64
  4. Step 4: Simplify right side
    24.04x = 779.17
  5. Step 5: Solve for x
    x = 779.17/24.04
  6. Step 6: Final answer
    x = 32.41

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Why These Related Problems?

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