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Finding the Fourth Proportional to 32.46, 48.69 and 22.40

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Solution

The fourth proportional to 32.46, 48.69 and 22.40 is: 33.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.46 : 48.69 = 22.40 : x
  2. Step 2: Convert to fraction form
    32.46/48.69 = 22.40/x
  3. Step 3: Cross multiply
    32.46x = 48.69 × 22.40
  4. Step 4: Simplify right side
    32.46x = 1,090.41
  5. Step 5: Solve for x
    x = 1,090.41/32.46
  6. Step 6: Final answer
    x = 33.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.