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Finding the Fourth Proportional to 69.29, 95.62 and 45.99

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Solution

The fourth proportional to 69.29, 95.62 and 45.99 is: 63.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 95.62 = 45.99 : x
  2. Step 2: Convert to fraction form
    69.29/95.62 = 45.99/x
  3. Step 3: Cross multiply
    69.29x = 95.62 × 45.99
  4. Step 4: Simplify right side
    69.29x = 4,397.56
  5. Step 5: Solve for x
    x = 4,397.56/69.29
  6. Step 6: Final answer
    x = 63.47

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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.