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Finding the Fourth Proportional to 34.10, 51.03 and 30.00

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Solution

The fourth proportional to 34.10, 51.03 and 30.00 is: 44.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.10 : 51.03 = 30.00 : x
  2. Step 2: Convert to fraction form
    34.10/51.03 = 30.00/x
  3. Step 3: Cross multiply
    34.10x = 51.03 × 30.00
  4. Step 4: Simplify right side
    34.10x = 1,530.66
  5. Step 5: Solve for x
    x = 1,530.66/34.10
  6. Step 6: Final answer
    x = 44.89

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