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Finding the Fourth Proportional to 105.69, 145.87 and 61.46

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Solution

The fourth proportional to 105.69, 145.87 and 61.46 is: 84.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 145.87 = 61.46 : x
  2. Step 2: Convert to fraction form
    105.69/145.87 = 61.46/x
  3. Step 3: Cross multiply
    105.69x = 145.87 × 61.46
  4. Step 4: Simplify right side
    105.69x = 8,965.40
  5. Step 5: Solve for x
    x = 8,965.40/105.69
  6. Step 6: Final answer
    x = 84.83

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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.