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Finding the Fourth Proportional to 102.93, 141.03 and 102.12

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Solution

The fourth proportional to 102.93, 141.03 and 102.12 is: 139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 141.03 = 102.12 : x
  2. Step 2: Convert to fraction form
    102.93/141.03 = 102.12/x
  3. Step 3: Cross multiply
    102.93x = 141.03 × 102.12
  4. Step 4: Simplify right side
    102.93x = 14,401.98
  5. Step 5: Solve for x
    x = 14,401.98/102.93
  6. Step 6: Final answer
    x = 139.92

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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.