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Finding the Fourth Proportional to 40.08, 59.80 and 37.78

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Solution

The fourth proportional to 40.08, 59.80 and 37.78 is: 56.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 59.80 = 37.78 : x
  2. Step 2: Convert to fraction form
    40.08/59.80 = 37.78/x
  3. Step 3: Cross multiply
    40.08x = 59.80 × 37.78
  4. Step 4: Simplify right side
    40.08x = 2,259.24
  5. Step 5: Solve for x
    x = 2,259.24/40.08
  6. Step 6: Final answer
    x = 56.37

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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.