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Finding the Fourth Proportional to 104.19, 156.27 and 31.06

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Solution

The fourth proportional to 104.19, 156.27 and 31.06 is: 46.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.19 : 156.27 = 31.06 : x
  2. Step 2: Convert to fraction form
    104.19/156.27 = 31.06/x
  3. Step 3: Cross multiply
    104.19x = 156.27 × 31.06
  4. Step 4: Simplify right side
    104.19x = 4,854.09
  5. Step 5: Solve for x
    x = 4,854.09/104.19
  6. Step 6: Final answer
    x = 46.59

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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.