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Finding the Fourth Proportional to 105.86, 146.10 and 76.35

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Solution

The fourth proportional to 105.86, 146.10 and 76.35 is: 105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146.10 = 76.35 : x
  2. Step 2: Convert to fraction form
    105.86/146.10 = 76.35/x
  3. Step 3: Cross multiply
    105.86x = 146.10 × 76.35
  4. Step 4: Simplify right side
    105.86x = 11,154.74
  5. Step 5: Solve for x
    x = 11,154.74/105.86
  6. Step 6: Final answer
    x = 105.37

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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.