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Finding the Fourth Proportional to 44.81, 61.83 and 31.00

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Solution

The fourth proportional to 44.81, 61.83 and 31.00 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.81 : 61.83 = 31.00 : x
  2. Step 2: Convert to fraction form
    44.81/61.83 = 31.00/x
  3. Step 3: Cross multiply
    44.81x = 61.83 × 31.00
  4. Step 4: Simplify right side
    44.81x = 1,916.27
  5. Step 5: Solve for x
    x = 1,916.27/44.81
  6. Step 6: Final answer
    x = 42.76

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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.