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Finding the Fourth Proportional to 104.10, 156.30 and 63.66

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Solution

The fourth proportional to 104.10, 156.30 and 63.66 is: 95.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 156.30 = 63.66 : x
  2. Step 2: Convert to fraction form
    104.10/156.30 = 63.66/x
  3. Step 3: Cross multiply
    104.10x = 156.30 × 63.66
  4. Step 4: Simplify right side
    104.10x = 9,950.06
  5. Step 5: Solve for x
    x = 9,950.06/104.10
  6. Step 6: Final answer
    x = 95.58

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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.