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Finding the Fourth Proportional to 40.04, 60.02 and 23.80

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Solution

The fourth proportional to 40.04, 60.02 and 23.80 is: 35.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.04 : 60.02 = 23.80 : x
  2. Step 2: Convert to fraction form
    40.04/60.02 = 23.80/x
  3. Step 3: Cross multiply
    40.04x = 60.02 × 23.80
  4. Step 4: Simplify right side
    40.04x = 1,428.48
  5. Step 5: Solve for x
    x = 1,428.48/40.04
  6. Step 6: Final answer
    x = 35.68

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Why These Related Problems?

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