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Finding the Fourth Proportional to 105.29, 145.32 and 75.83

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Solution

The fourth proportional to 105.29, 145.32 and 75.83 is: 104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.29 : 145.32 = 75.83 : x
  2. Step 2: Convert to fraction form
    105.29/145.32 = 75.83/x
  3. Step 3: Cross multiply
    105.29x = 145.32 × 75.83
  4. Step 4: Simplify right side
    105.29x = 11,019.62
  5. Step 5: Solve for x
    x = 11,019.62/105.29
  6. Step 6: Final answer
    x = 104.66

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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.