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Finding the Fourth Proportional to 23.04, 32 and 22.86

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Solution

The fourth proportional to 23.04, 32 and 22.86 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 32 = 22.86 : x
  2. Step 2: Convert to fraction form
    23.04/32 = 22.86/x
  3. Step 3: Cross multiply
    23.04x = 32 × 22.86
  4. Step 4: Simplify right side
    23.04x = 731.52
  5. Step 5: Solve for x
    x = 731.52/23.04
  6. Step 6: Final answer
    x = 31.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.