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Finding the Fourth Proportional to 69.96, 96.57 and 50.58

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Solution

The fourth proportional to 69.96, 96.57 and 50.58 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 96.57 = 50.58 : x
  2. Step 2: Convert to fraction form
    69.96/96.57 = 50.58/x
  3. Step 3: Cross multiply
    69.96x = 96.57 × 50.58
  4. Step 4: Simplify right side
    69.96x = 4,884.51
  5. Step 5: Solve for x
    x = 4,884.51/69.96
  6. Step 6: Final answer
    x = 69.82

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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.