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Finding the Fourth Proportional to 103.82, 156.29 and 94.40

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Solution

The fourth proportional to 103.82, 156.29 and 94.40 is: 142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.82 : 156.29 = 94.40 : x
  2. Step 2: Convert to fraction form
    103.82/156.29 = 94.40/x
  3. Step 3: Cross multiply
    103.82x = 156.29 × 94.40
  4. Step 4: Simplify right side
    103.82x = 14,752.52
  5. Step 5: Solve for x
    x = 14,752.52/103.82
  6. Step 6: Final answer
    x = 142.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.