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Finding the Fourth Proportional to 105.92, 145.81 and 87.47

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Solution

The fourth proportional to 105.92, 145.81 and 87.47 is: 120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.92 : 145.81 = 87.47 : x
  2. Step 2: Convert to fraction form
    105.92/145.81 = 87.47/x
  3. Step 3: Cross multiply
    105.92x = 145.81 × 87.47
  4. Step 4: Simplify right side
    105.92x = 12,754.00
  5. Step 5: Solve for x
    x = 12,754.00/105.92
  6. Step 6: Final answer
    x = 120.41

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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.