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Finding the Fourth Proportional to 42.02, 63.28 and 40.40

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Solution

The fourth proportional to 42.02, 63.28 and 40.40 is: 60.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.02 : 63.28 = 40.40 : x
  2. Step 2: Convert to fraction form
    42.02/63.28 = 40.40/x
  3. Step 3: Cross multiply
    42.02x = 63.28 × 40.40
  4. Step 4: Simplify right side
    42.02x = 2,556.48
  5. Step 5: Solve for x
    x = 2,556.48/42.02
  6. Step 6: Final answer
    x = 60.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.