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Finding the Fourth Proportional to 39.63, 54.69 and 23.03

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Solution

The fourth proportional to 39.63, 54.69 and 23.03 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.63 : 54.69 = 23.03 : x
  2. Step 2: Convert to fraction form
    39.63/54.69 = 23.03/x
  3. Step 3: Cross multiply
    39.63x = 54.69 × 23.03
  4. Step 4: Simplify right side
    39.63x = 1,259.12
  5. Step 5: Solve for x
    x = 1,259.12/39.63
  6. Step 6: Final answer
    x = 31.77

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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.