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Finding the Fourth Proportional to 104.01, 156.00 and 30.89

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Solution

The fourth proportional to 104.01, 156.00 and 30.89 is: 46.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.01 : 156.00 = 30.89 : x
  2. Step 2: Convert to fraction form
    104.01/156.00 = 30.89/x
  3. Step 3: Cross multiply
    104.01x = 156.00 × 30.89
  4. Step 4: Simplify right side
    104.01x = 4,818.53
  5. Step 5: Solve for x
    x = 4,818.53/104.01
  6. Step 6: Final answer
    x = 46.33

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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.