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Finding the Fourth Proportional to 115.10, 158.87 and 103.41

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Solution

The fourth proportional to 115.10, 158.87 and 103.41 is: 142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 158.87 = 103.41 : x
  2. Step 2: Convert to fraction form
    115.10/158.87 = 103.41/x
  3. Step 3: Cross multiply
    115.10x = 158.87 × 103.41
  4. Step 4: Simplify right side
    115.10x = 16,428.23
  5. Step 5: Solve for x
    x = 16,428.23/115.10
  6. Step 6: Final answer
    x = 142.74

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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.