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Finding the Fourth Proportional to 71.60, 107.35 and 22.84

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Solution

The fourth proportional to 71.60, 107.35 and 22.84 is: 34.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 107.35 = 22.84 : x
  2. Step 2: Convert to fraction form
    71.60/107.35 = 22.84/x
  3. Step 3: Cross multiply
    71.60x = 107.35 × 22.84
  4. Step 4: Simplify right side
    71.60x = 2,451.68
  5. Step 5: Solve for x
    x = 2,451.68/71.60
  6. Step 6: Final answer
    x = 34.24

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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.