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Finding the Fourth Proportional to 105.54, 145.44 and 102.84

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Solution

The fourth proportional to 105.54, 145.44 and 102.84 is: 141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 145.44 = 102.84 : x
  2. Step 2: Convert to fraction form
    105.54/145.44 = 102.84/x
  3. Step 3: Cross multiply
    105.54x = 145.44 × 102.84
  4. Step 4: Simplify right side
    105.54x = 14,957.05
  5. Step 5: Solve for x
    x = 14,957.05/105.54
  6. Step 6: Final answer
    x = 141.72

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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.