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Finding the Fourth Proportional to 105.88, 145.24 and 102.36

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Solution

The fourth proportional to 105.88, 145.24 and 102.36 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.88 : 145.24 = 102.36 : x
  2. Step 2: Convert to fraction form
    105.88/145.24 = 102.36/x
  3. Step 3: Cross multiply
    105.88x = 145.24 × 102.36
  4. Step 4: Simplify right side
    105.88x = 14,866.77
  5. Step 5: Solve for x
    x = 14,866.77/105.88
  6. Step 6: Final answer
    x = 140.41

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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.