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Finding the Fourth Proportional to 24.91, 37.10 and 24.19

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Solution

The fourth proportional to 24.91, 37.10 and 24.19 is: 36.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.91 : 37.10 = 24.19 : x
  2. Step 2: Convert to fraction form
    24.91/37.10 = 24.19/x
  3. Step 3: Cross multiply
    24.91x = 37.10 × 24.19
  4. Step 4: Simplify right side
    24.91x = 897.42
  5. Step 5: Solve for x
    x = 897.42/24.91
  6. Step 6: Final answer
    x = 36.03

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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.