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Finding the Fourth Proportional to 103.43, 142.72 and 56.80

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Solution

The fourth proportional to 103.43, 142.72 and 56.80 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 142.72 = 56.80 : x
  2. Step 2: Convert to fraction form
    103.43/142.72 = 56.80/x
  3. Step 3: Cross multiply
    103.43x = 142.72 × 56.80
  4. Step 4: Simplify right side
    103.43x = 8,105.71
  5. Step 5: Solve for x
    x = 8,105.71/103.43
  6. Step 6: Final answer
    x = 78.37

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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.