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Finding the Fourth Proportional to 104.64, 144.25 and 69.63

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Solution

The fourth proportional to 104.64, 144.25 and 69.63 is: 95.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 144.25 = 69.63 : x
  2. Step 2: Convert to fraction form
    104.64/144.25 = 69.63/x
  3. Step 3: Cross multiply
    104.64x = 144.25 × 69.63
  4. Step 4: Simplify right side
    104.64x = 10,044.13
  5. Step 5: Solve for x
    x = 10,044.13/104.64
  6. Step 6: Final answer
    x = 95.99

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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.