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Finding the Fourth Proportional to 69.99, 96.31 and 64.19

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Solution

The fourth proportional to 69.99, 96.31 and 64.19 is: 88.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.99 : 96.31 = 64.19 : x
  2. Step 2: Convert to fraction form
    69.99/96.31 = 64.19/x
  3. Step 3: Cross multiply
    69.99x = 96.31 × 64.19
  4. Step 4: Simplify right side
    69.99x = 6,182.14
  5. Step 5: Solve for x
    x = 6,182.14/69.99
  6. Step 6: Final answer
    x = 88.33

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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.