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Finding the Fourth Proportional to 113.10, 168.68 and 102.17

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Solution

The fourth proportional to 113.10, 168.68 and 102.17 is: 152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 168.68 = 102.17 : x
  2. Step 2: Convert to fraction form
    113.10/168.68 = 102.17/x
  3. Step 3: Cross multiply
    113.10x = 168.68 × 102.17
  4. Step 4: Simplify right side
    113.10x = 17,234.24
  5. Step 5: Solve for x
    x = 17,234.24/113.10
  6. Step 6: Final answer
    x = 152.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.