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Finding the Fourth Proportional to 104.24, 142.90 and 102.56

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Solution

The fourth proportional to 104.24, 142.90 and 102.56 is: 140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 142.90 = 102.56 : x
  2. Step 2: Convert to fraction form
    104.24/142.90 = 102.56/x
  3. Step 3: Cross multiply
    104.24x = 142.90 × 102.56
  4. Step 4: Simplify right side
    104.24x = 14,655.82
  5. Step 5: Solve for x
    x = 14,655.82/104.24
  6. Step 6: Final answer
    x = 140.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.