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Finding the Fourth Proportional to 105.71, 145.19 and 96.49

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Solution

The fourth proportional to 105.71, 145.19 and 96.49 is: 132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 145.19 = 96.49 : x
  2. Step 2: Convert to fraction form
    105.71/145.19 = 96.49/x
  3. Step 3: Cross multiply
    105.71x = 145.19 × 96.49
  4. Step 4: Simplify right side
    105.71x = 14,009.81
  5. Step 5: Solve for x
    x = 14,009.81/105.71
  6. Step 6: Final answer
    x = 132.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.