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Finding the Fourth Proportional to 215.85, 323.70 and 71.53

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Solution

The fourth proportional to 215.85, 323.70 and 71.53 is: 107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.85 : 323.70 = 71.53 : x
  2. Step 2: Convert to fraction form
    215.85/323.70 = 71.53/x
  3. Step 3: Cross multiply
    215.85x = 323.70 × 71.53
  4. Step 4: Simplify right side
    215.85x = 23,154.26
  5. Step 5: Solve for x
    x = 23,154.26/215.85
  6. Step 6: Final answer
    x = 107.27

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