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Finding the Fourth Proportional to 40.12, 59.38 and 40.02

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Solution

The fourth proportional to 40.12, 59.38 and 40.02 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.12 : 59.38 = 40.02 : x
  2. Step 2: Convert to fraction form
    40.12/59.38 = 40.02/x
  3. Step 3: Cross multiply
    40.12x = 59.38 × 40.02
  4. Step 4: Simplify right side
    40.12x = 2,376.39
  5. Step 5: Solve for x
    x = 2,376.39/40.12
  6. Step 6: Final answer
    x = 59.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.