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Finding the Fourth Proportional to 105.76, 146.08 and 81.50

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Solution

The fourth proportional to 105.76, 146.08 and 81.50 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 146.08 = 81.50 : x
  2. Step 2: Convert to fraction form
    105.76/146.08 = 81.50/x
  3. Step 3: Cross multiply
    105.76x = 146.08 × 81.50
  4. Step 4: Simplify right side
    105.76x = 11,904.79
  5. Step 5: Solve for x
    x = 11,904.79/105.76
  6. Step 6: Final answer
    x = 112.57

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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.