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Finding the Fourth Proportional to 104.34, 156.28 and 78.68

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Solution

The fourth proportional to 104.34, 156.28 and 78.68 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.34 : 156.28 = 78.68 : x
  2. Step 2: Convert to fraction form
    104.34/156.28 = 78.68/x
  3. Step 3: Cross multiply
    104.34x = 156.28 × 78.68
  4. Step 4: Simplify right side
    104.34x = 12,296.11
  5. Step 5: Solve for x
    x = 12,296.11/104.34
  6. Step 6: Final answer
    x = 117.85

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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.