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Finding the Fourth Proportional to 113.48, 168.85 and 113.10

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Solution

The fourth proportional to 113.48, 168.85 and 113.10 is: 168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 168.85 = 113.10 : x
  2. Step 2: Convert to fraction form
    113.48/168.85 = 113.10/x
  3. Step 3: Cross multiply
    113.48x = 168.85 × 113.10
  4. Step 4: Simplify right side
    113.48x = 19,096.44
  5. Step 5: Solve for x
    x = 19,096.44/113.48
  6. Step 6: Final answer
    x = 168.28

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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.