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Finding the Fourth Proportional to 40.10, 55.35 and 36.38

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Solution

The fourth proportional to 40.10, 55.35 and 36.38 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 55.35 = 36.38 : x
  2. Step 2: Convert to fraction form
    40.10/55.35 = 36.38/x
  3. Step 3: Cross multiply
    40.10x = 55.35 × 36.38
  4. Step 4: Simplify right side
    40.10x = 2,013.77
  5. Step 5: Solve for x
    x = 2,013.77/40.10
  6. Step 6: Final answer
    x = 50.23

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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.