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Finding the Fourth Proportional to 69.62, 95.99 and 45.05

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Solution

The fourth proportional to 69.62, 95.99 and 45.05 is: 62.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.62 : 95.99 = 45.05 : x
  2. Step 2: Convert to fraction form
    69.62/95.99 = 45.05/x
  3. Step 3: Cross multiply
    69.62x = 95.99 × 45.05
  4. Step 4: Simplify right side
    69.62x = 4,323.64
  5. Step 5: Solve for x
    x = 4,323.64/69.62
  6. Step 6: Final answer
    x = 62.11

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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.