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Finding the Fourth Proportional to 103.64, 142.79 and 79.02

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Solution

The fourth proportional to 103.64, 142.79 and 79.02 is: 108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.64 : 142.79 = 79.02 : x
  2. Step 2: Convert to fraction form
    103.64/142.79 = 79.02/x
  3. Step 3: Cross multiply
    103.64x = 142.79 × 79.02
  4. Step 4: Simplify right side
    103.64x = 11,282.87
  5. Step 5: Solve for x
    x = 11,282.87/103.64
  6. Step 6: Final answer
    x = 108.87

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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.