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Finding the Fourth Proportional to 105.76, 146.16 and 96.16

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Solution

The fourth proportional to 105.76, 146.16 and 96.16 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 146.16 = 96.16 : x
  2. Step 2: Convert to fraction form
    105.76/146.16 = 96.16/x
  3. Step 3: Cross multiply
    105.76x = 146.16 × 96.16
  4. Step 4: Simplify right side
    105.76x = 14,054.75
  5. Step 5: Solve for x
    x = 14,054.75/105.76
  6. Step 6: Final answer
    x = 132.89

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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.