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Finding the Fourth Proportional to 35.38, 52.98 and 30.00

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Solution

The fourth proportional to 35.38, 52.98 and 30.00 is: 44.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 52.98 = 30.00 : x
  2. Step 2: Convert to fraction form
    35.38/52.98 = 30.00/x
  3. Step 3: Cross multiply
    35.38x = 52.98 × 30.00
  4. Step 4: Simplify right side
    35.38x = 1,589.57
  5. Step 5: Solve for x
    x = 1,589.57/35.38
  6. Step 6: Final answer
    x = 44.93

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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.