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Finding the Fourth Proportional to 113.28, 156 and 104.16

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Solution

The fourth proportional to 113.28, 156 and 104.16 is: 143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 156 = 104.16 : x
  2. Step 2: Convert to fraction form
    113.28/156 = 104.16/x
  3. Step 3: Cross multiply
    113.28x = 156 × 104.16
  4. Step 4: Simplify right side
    113.28x = 16,248.96
  5. Step 5: Solve for x
    x = 16,248.96/113.28
  6. Step 6: Final answer
    x = 143.44

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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.