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Finding the Fourth Proportional to 102.83, 141.17 and 88.99

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Solution

The fourth proportional to 102.83, 141.17 and 88.99 is: 122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.83 : 141.17 = 88.99 : x
  2. Step 2: Convert to fraction form
    102.83/141.17 = 88.99/x
  3. Step 3: Cross multiply
    102.83x = 141.17 × 88.99
  4. Step 4: Simplify right side
    102.83x = 12,561.92
  5. Step 5: Solve for x
    x = 12,561.92/102.83
  6. Step 6: Final answer
    x = 122.17

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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.