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Finding the Fourth Proportional to 113.48, 170.23 and 31.23

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Solution

The fourth proportional to 113.48, 170.23 and 31.23 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 170.23 = 31.23 : x
  2. Step 2: Convert to fraction form
    113.48/170.23 = 31.23/x
  3. Step 3: Cross multiply
    113.48x = 170.23 × 31.23
  4. Step 4: Simplify right side
    113.48x = 5,315.65
  5. Step 5: Solve for x
    x = 5,315.65/113.48
  6. Step 6: Final answer
    x = 46.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.