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Finding the Fourth Proportional to 233.96, 350.94 and 71.64

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Solution

The fourth proportional to 233.96, 350.94 and 71.64 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 350.94 = 71.64 : x
  2. Step 2: Convert to fraction form
    233.96/350.94 = 71.64/x
  3. Step 3: Cross multiply
    233.96x = 350.94 × 71.64
  4. Step 4: Simplify right side
    233.96x = 25,141.34
  5. Step 5: Solve for x
    x = 25,141.34/233.96
  6. Step 6: Final answer
    x = 107.46

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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.