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Finding the Fourth Proportional to 113.52, 170.88 and 106.50

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Solution

The fourth proportional to 113.52, 170.88 and 106.50 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.52 : 170.88 = 106.50 : x
  2. Step 2: Convert to fraction form
    113.52/170.88 = 106.50/x
  3. Step 3: Cross multiply
    113.52x = 170.88 × 106.50
  4. Step 4: Simplify right side
    113.52x = 18,198.72
  5. Step 5: Solve for x
    x = 18,198.72/113.52
  6. Step 6: Final answer
    x = 160.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.