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Finding the Fourth Proportional to 104.05, 156.06 and 52.64

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Solution

The fourth proportional to 104.05, 156.06 and 52.64 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.05 : 156.06 = 52.64 : x
  2. Step 2: Convert to fraction form
    104.05/156.06 = 52.64/x
  3. Step 3: Cross multiply
    104.05x = 156.06 × 52.64
  4. Step 4: Simplify right side
    104.05x = 8,214.74
  5. Step 5: Solve for x
    x = 8,214.74/104.05
  6. Step 6: Final answer
    x = 78.95

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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.