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Finding the Fourth Proportional to 215.98, 324 and 71.68

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Solution

The fourth proportional to 215.98, 324 and 71.68 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 324 = 71.68 : x
  2. Step 2: Convert to fraction form
    215.98/324 = 71.68/x
  3. Step 3: Cross multiply
    215.98x = 324 × 71.68
  4. Step 4: Simplify right side
    215.98x = 23,224.32
  5. Step 5: Solve for x
    x = 23,224.32/215.98
  6. Step 6: Final answer
    x = 107.53

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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.