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Finding the Fourth Proportional to 40.05, 55.32 and 37.77

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Solution

The fourth proportional to 40.05, 55.32 and 37.77 is: 52.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 55.32 = 37.77 : x
  2. Step 2: Convert to fraction form
    40.05/55.32 = 37.77/x
  3. Step 3: Cross multiply
    40.05x = 55.32 × 37.77
  4. Step 4: Simplify right side
    40.05x = 2,089.44
  5. Step 5: Solve for x
    x = 2,089.44/40.05
  6. Step 6: Final answer
    x = 52.17

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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.