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Finding the Fourth Proportional to 40.99, 61.41 and 24.72

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Solution

The fourth proportional to 40.99, 61.41 and 24.72 is: 37.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.99 : 61.41 = 24.72 : x
  2. Step 2: Convert to fraction form
    40.99/61.41 = 24.72/x
  3. Step 3: Cross multiply
    40.99x = 61.41 × 24.72
  4. Step 4: Simplify right side
    40.99x = 1,518.06
  5. Step 5: Solve for x
    x = 1,518.06/40.99
  6. Step 6: Final answer
    x = 37.03

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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.