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Finding the Fourth Proportional to 69.64, 96.07 and 43.75

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Solution

The fourth proportional to 69.64, 96.07 and 43.75 is: 60.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 96.07 = 43.75 : x
  2. Step 2: Convert to fraction form
    69.64/96.07 = 43.75/x
  3. Step 3: Cross multiply
    69.64x = 96.07 × 43.75
  4. Step 4: Simplify right side
    69.64x = 4,203.06
  5. Step 5: Solve for x
    x = 4,203.06/69.64
  6. Step 6: Final answer
    x = 60.35

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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.