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Finding the Fourth Proportional to 40.02, 55.23 and 23.64

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Solution

The fourth proportional to 40.02, 55.23 and 23.64 is: 32.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 55.23 = 23.64 : x
  2. Step 2: Convert to fraction form
    40.02/55.23 = 23.64/x
  3. Step 3: Cross multiply
    40.02x = 55.23 × 23.64
  4. Step 4: Simplify right side
    40.02x = 1,305.64
  5. Step 5: Solve for x
    x = 1,305.64/40.02
  6. Step 6: Final answer
    x = 32.62

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Why These Related Problems?

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