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Finding the Fourth Proportional to 104.01, 156.03 and 31.88

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Solution

The fourth proportional to 104.01, 156.03 and 31.88 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.01 : 156.03 = 31.88 : x
  2. Step 2: Convert to fraction form
    104.01/156.03 = 31.88/x
  3. Step 3: Cross multiply
    104.01x = 156.03 × 31.88
  4. Step 4: Simplify right side
    104.01x = 4,973.46
  5. Step 5: Solve for x
    x = 4,973.46/104.01
  6. Step 6: Final answer
    x = 47.82

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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.