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Finding the Fourth Proportional to 113.52, 169.30 and 105

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Solution

The fourth proportional to 113.52, 169.30 and 105 is: 156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.52 : 169.30 = 105 : x
  2. Step 2: Convert to fraction form
    113.52/169.30 = 105/x
  3. Step 3: Cross multiply
    113.52x = 169.30 × 105
  4. Step 4: Simplify right side
    113.52x = 17,776.50
  5. Step 5: Solve for x
    x = 17,776.50/113.52
  6. Step 6: Final answer
    x = 156.59

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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.