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Finding the Fourth Proportional to 103.64, 142.88 and 68.63

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Solution

The fourth proportional to 103.64, 142.88 and 68.63 is: 94.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 142.88 = 68.63 : x
  2. Step 2: Convert to fraction form
    103.64/142.88 = 68.63/x
  3. Step 3: Cross multiply
    103.64x = 142.88 × 68.63
  4. Step 4: Simplify right side
    103.64x = 9,804.80
  5. Step 5: Solve for x
    x = 9,804.80/103.64
  6. Step 6: Final answer
    x = 94.61

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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.