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Finding the Fourth Proportional to 44.83, 61.89 and 31.01

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Solution

The fourth proportional to 44.83, 61.89 and 31.01 is: 42.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.83 : 61.89 = 31.01 : x
  2. Step 2: Convert to fraction form
    44.83/61.89 = 31.01/x
  3. Step 3: Cross multiply
    44.83x = 61.89 × 31.01
  4. Step 4: Simplify right side
    44.83x = 1,919.21
  5. Step 5: Solve for x
    x = 1,919.21/44.83
  6. Step 6: Final answer
    x = 42.81

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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.