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Finding the Fourth Proportional to 71.83, 107.74 and 23.08

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Solution

The fourth proportional to 71.83, 107.74 and 23.08 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.83 : 107.74 = 23.08 : x
  2. Step 2: Convert to fraction form
    71.83/107.74 = 23.08/x
  3. Step 3: Cross multiply
    71.83x = 107.74 × 23.08
  4. Step 4: Simplify right side
    71.83x = 2,486.64
  5. Step 5: Solve for x
    x = 2,486.64/71.83
  6. Step 6: Final answer
    x = 34.62

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Why These Related Problems?

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