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Finding the Fourth Proportional to 105.68, 145.92 and 102.24

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Solution

The fourth proportional to 105.68, 145.92 and 102.24 is: 141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 145.92 = 102.24 : x
  2. Step 2: Convert to fraction form
    105.68/145.92 = 102.24/x
  3. Step 3: Cross multiply
    105.68x = 145.92 × 102.24
  4. Step 4: Simplify right side
    105.68x = 14,918.86
  5. Step 5: Solve for x
    x = 14,918.86/105.68
  6. Step 6: Final answer
    x = 141.17

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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.