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Finding the Fourth Proportional to 23.64, 32.66 and 22.65

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Solution

The fourth proportional to 23.64, 32.66 and 22.65 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.64 : 32.66 = 22.65 : x
  2. Step 2: Convert to fraction form
    23.64/32.66 = 22.65/x
  3. Step 3: Cross multiply
    23.64x = 32.66 × 22.65
  4. Step 4: Simplify right side
    23.64x = 739.75
  5. Step 5: Solve for x
    x = 739.75/23.64
  6. Step 6: Final answer
    x = 31.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.