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Finding the Fourth Proportional to 40.90, 56.46 and 30

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Solution

The fourth proportional to 40.90, 56.46 and 30 is: 41.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.90 : 56.46 = 30 : x
  2. Step 2: Convert to fraction form
    40.90/56.46 = 30/x
  3. Step 3: Cross multiply
    40.90x = 56.46 × 30
  4. Step 4: Simplify right side
    40.90x = 1,693.80
  5. Step 5: Solve for x
    x = 1,693.80/40.90
  6. Step 6: Final answer
    x = 41.41

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