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Finding the Fourth Proportional to 72.34, 107.63 and 72.16

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Solution

The fourth proportional to 72.34, 107.63 and 72.16 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.34 : 107.63 = 72.16 : x
  2. Step 2: Convert to fraction form
    72.34/107.63 = 72.16/x
  3. Step 3: Cross multiply
    72.34x = 107.63 × 72.16
  4. Step 4: Simplify right side
    72.34x = 7,766.58
  5. Step 5: Solve for x
    x = 7,766.58/72.34
  6. Step 6: Final answer
    x = 107.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.