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Finding the Fourth Proportional to 105.37, 145.39 and 61.69

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Solution

The fourth proportional to 105.37, 145.39 and 61.69 is: 85.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 145.39 = 61.69 : x
  2. Step 2: Convert to fraction form
    105.37/145.39 = 61.69/x
  3. Step 3: Cross multiply
    105.37x = 145.39 × 61.69
  4. Step 4: Simplify right side
    105.37x = 8,969.11
  5. Step 5: Solve for x
    x = 8,969.11/105.37
  6. Step 6: Final answer
    x = 85.12

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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.