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Finding the Fourth Proportional to 33.05, 45.65 and 31.01

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Solution

The fourth proportional to 33.05, 45.65 and 31.01 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 45.65 = 31.01 : x
  2. Step 2: Convert to fraction form
    33.05/45.65 = 31.01/x
  3. Step 3: Cross multiply
    33.05x = 45.65 × 31.01
  4. Step 4: Simplify right side
    33.05x = 1,415.46
  5. Step 5: Solve for x
    x = 1,415.46/33.05
  6. Step 6: Final answer
    x = 42.82

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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.