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Finding the Fourth Proportional to 69.68, 96.14 and 42.05

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Solution

The fourth proportional to 69.68, 96.14 and 42.05 is: 58.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 96.14 = 42.05 : x
  2. Step 2: Convert to fraction form
    69.68/96.14 = 42.05/x
  3. Step 3: Cross multiply
    69.68x = 96.14 × 42.05
  4. Step 4: Simplify right side
    69.68x = 4,042.69
  5. Step 5: Solve for x
    x = 4,042.69/69.68
  6. Step 6: Final answer
    x = 58.02

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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.