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Finding the Fourth Proportional to 25.24, 37.90 and 24.08

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Solution

The fourth proportional to 25.24, 37.90 and 24.08 is: 36.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.24 : 37.90 = 24.08 : x
  2. Step 2: Convert to fraction form
    25.24/37.90 = 24.08/x
  3. Step 3: Cross multiply
    25.24x = 37.90 × 24.08
  4. Step 4: Simplify right side
    25.24x = 912.63
  5. Step 5: Solve for x
    x = 912.63/25.24
  6. Step 6: Final answer
    x = 36.16

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