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Finding the Fourth Proportional to 102.89, 142.01 and 59.23

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Solution

The fourth proportional to 102.89, 142.01 and 59.23 is: 81.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.89 : 142.01 = 59.23 : x
  2. Step 2: Convert to fraction form
    102.89/142.01 = 59.23/x
  3. Step 3: Cross multiply
    102.89x = 142.01 × 59.23
  4. Step 4: Simplify right side
    102.89x = 8,410.60
  5. Step 5: Solve for x
    x = 8,410.60/102.89
  6. Step 6: Final answer
    x = 81.74

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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.