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Finding the Fourth Proportional to 23.60, 32.40 and 22.64

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Solution

The fourth proportional to 23.60, 32.40 and 22.64 is: 31.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.60 : 32.40 = 22.64 : x
  2. Step 2: Convert to fraction form
    23.60/32.40 = 22.64/x
  3. Step 3: Cross multiply
    23.60x = 32.40 × 22.64
  4. Step 4: Simplify right side
    23.60x = 733.54
  5. Step 5: Solve for x
    x = 733.54/23.60
  6. Step 6: Final answer
    x = 31.08

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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.