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Finding the Fourth Proportional to 40.27, 60.00 and 37.65

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Solution

The fourth proportional to 40.27, 60.00 and 37.65 is: 56.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.27 : 60.00 = 37.65 : x
  2. Step 2: Convert to fraction form
    40.27/60.00 = 37.65/x
  3. Step 3: Cross multiply
    40.27x = 60.00 × 37.65
  4. Step 4: Simplify right side
    40.27x = 2,259.26
  5. Step 5: Solve for x
    x = 2,259.26/40.27
  6. Step 6: Final answer
    x = 56.10

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