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Finding the Fourth Proportional to 24.72, 37.26 and 24.16

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Solution

The fourth proportional to 24.72, 37.26 and 24.16 is: 36.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.72 : 37.26 = 24.16 : x
  2. Step 2: Convert to fraction form
    24.72/37.26 = 24.16/x
  3. Step 3: Cross multiply
    24.72x = 37.26 × 24.16
  4. Step 4: Simplify right side
    24.72x = 900.20
  5. Step 5: Solve for x
    x = 900.20/24.72
  6. Step 6: Final answer
    x = 36.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.