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Finding the Fourth Proportional to 24.70, 37.08 and 23.74

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Solution

The fourth proportional to 24.70, 37.08 and 23.74 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.70 : 37.08 = 23.74 : x
  2. Step 2: Convert to fraction form
    24.70/37.08 = 23.74/x
  3. Step 3: Cross multiply
    24.70x = 37.08 × 23.74
  4. Step 4: Simplify right side
    24.70x = 880.28
  5. Step 5: Solve for x
    x = 880.28/24.70
  6. Step 6: Final answer
    x = 35.64

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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.