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Finding the Fourth Proportional to 105.96, 146.16 and 73.16

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Solution

The fourth proportional to 105.96, 146.16 and 73.16 is: 100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.96 : 146.16 = 73.16 : x
  2. Step 2: Convert to fraction form
    105.96/146.16 = 73.16/x
  3. Step 3: Cross multiply
    105.96x = 146.16 × 73.16
  4. Step 4: Simplify right side
    105.96x = 10,693.07
  5. Step 5: Solve for x
    x = 10,693.07/105.96
  6. Step 6: Final answer
    x = 100.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.