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Finding the Fourth Proportional to 192.87, 266.16 and 105.54

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Solution

The fourth proportional to 192.87, 266.16 and 105.54 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.87 : 266.16 = 105.54 : x
  2. Step 2: Convert to fraction form
    192.87/266.16 = 105.54/x
  3. Step 3: Cross multiply
    192.87x = 266.16 × 105.54
  4. Step 4: Simplify right side
    192.87x = 28,090.53
  5. Step 5: Solve for x
    x = 28,090.53/192.87
  6. Step 6: Final answer
    x = 145.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.