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Finding the Fourth Proportional to 40.24, 60.50 and 37.54

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Solution

The fourth proportional to 40.24, 60.50 and 37.54 is: 56.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 60.50 = 37.54 : x
  2. Step 2: Convert to fraction form
    40.24/60.50 = 37.54/x
  3. Step 3: Cross multiply
    40.24x = 60.50 × 37.54
  4. Step 4: Simplify right side
    40.24x = 2,271.17
  5. Step 5: Solve for x
    x = 2,271.17/40.24
  6. Step 6: Final answer
    x = 56.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.