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Finding the Fourth Proportional to 31.98, 44.08 and 30.00

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Solution

The fourth proportional to 31.98, 44.08 and 30.00 is: 41.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.98 : 44.08 = 30.00 : x
  2. Step 2: Convert to fraction form
    31.98/44.08 = 30.00/x
  3. Step 3: Cross multiply
    31.98x = 44.08 × 30.00
  4. Step 4: Simplify right side
    31.98x = 1,322.66
  5. Step 5: Solve for x
    x = 1,322.66/31.98
  6. Step 6: Final answer
    x = 41.35

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Why These Related Problems?

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