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Finding the Fourth Proportional to 72.16, 108.33 and 46.19

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Solution

The fourth proportional to 72.16, 108.33 and 46.19 is: 69.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.16 : 108.33 = 46.19 : x
  2. Step 2: Convert to fraction form
    72.16/108.33 = 46.19/x
  3. Step 3: Cross multiply
    72.16x = 108.33 × 46.19
  4. Step 4: Simplify right side
    72.16x = 5,003.76
  5. Step 5: Solve for x
    x = 5,003.76/72.16
  6. Step 6: Final answer
    x = 69.34

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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.