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Finding the Fourth Proportional to 23.70, 32.74 and 19.58

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Solution

The fourth proportional to 23.70, 32.74 and 19.58 is: 27.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 32.74 = 19.58 : x
  2. Step 2: Convert to fraction form
    23.70/32.74 = 19.58/x
  3. Step 3: Cross multiply
    23.70x = 32.74 × 19.58
  4. Step 4: Simplify right side
    23.70x = 641.05
  5. Step 5: Solve for x
    x = 641.05/23.70
  6. Step 6: Final answer
    x = 27.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.