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Finding the Fourth Proportional to 105.36, 157.23 and 95.12

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Solution

The fourth proportional to 105.36, 157.23 and 95.12 is: 141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 157.23 = 95.12 : x
  2. Step 2: Convert to fraction form
    105.36/157.23 = 95.12/x
  3. Step 3: Cross multiply
    105.36x = 157.23 × 95.12
  4. Step 4: Simplify right side
    105.36x = 14,955.72
  5. Step 5: Solve for x
    x = 14,955.72/105.36
  6. Step 6: Final answer
    x = 141.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.