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Finding the Fourth Proportional to 105.24, 145.38 and 102.54

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Solution

The fourth proportional to 105.24, 145.38 and 102.54 is: 141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 145.38 = 102.54 : x
  2. Step 2: Convert to fraction form
    105.24/145.38 = 102.54/x
  3. Step 3: Cross multiply
    105.24x = 145.38 × 102.54
  4. Step 4: Simplify right side
    105.24x = 14,907.27
  5. Step 5: Solve for x
    x = 14,907.27/105.24
  6. Step 6: Final answer
    x = 141.65

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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.