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Finding the Fourth Proportional to 103.06, 142.06 and 79.77

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Solution

The fourth proportional to 103.06, 142.06 and 79.77 is: 109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 142.06 = 79.77 : x
  2. Step 2: Convert to fraction form
    103.06/142.06 = 79.77/x
  3. Step 3: Cross multiply
    103.06x = 142.06 × 79.77
  4. Step 4: Simplify right side
    103.06x = 11,332.13
  5. Step 5: Solve for x
    x = 11,332.13/103.06
  6. Step 6: Final answer
    x = 109.96

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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.