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Finding the Fourth Proportional to 40.07, 59.77 and 33.32

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Solution

The fourth proportional to 40.07, 59.77 and 33.32 is: 49.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 59.77 = 33.32 : x
  2. Step 2: Convert to fraction form
    40.07/59.77 = 33.32/x
  3. Step 3: Cross multiply
    40.07x = 59.77 × 33.32
  4. Step 4: Simplify right side
    40.07x = 1,991.54
  5. Step 5: Solve for x
    x = 1,991.54/40.07
  6. Step 6: Final answer
    x = 49.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.