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Finding the Fourth Proportional to 103.40, 142.68 and 58.54

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Solution

The fourth proportional to 103.40, 142.68 and 58.54 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 142.68 = 58.54 : x
  2. Step 2: Convert to fraction form
    103.40/142.68 = 58.54/x
  3. Step 3: Cross multiply
    103.40x = 142.68 × 58.54
  4. Step 4: Simplify right side
    103.40x = 8,352.13
  5. Step 5: Solve for x
    x = 8,352.13/103.40
  6. Step 6: Final answer
    x = 80.77

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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.