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Finding the Fourth Proportional to 103.56, 142.94 and 77.32

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Solution

The fourth proportional to 103.56, 142.94 and 77.32 is: 106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 142.94 = 77.32 : x
  2. Step 2: Convert to fraction form
    103.56/142.94 = 77.32/x
  3. Step 3: Cross multiply
    103.56x = 142.94 × 77.32
  4. Step 4: Simplify right side
    103.56x = 11,052.12
  5. Step 5: Solve for x
    x = 11,052.12/103.56
  6. Step 6: Final answer
    x = 106.72

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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.