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Finding the Fourth Proportional to 104.66, 156.91 and 75.77

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Solution

The fourth proportional to 104.66, 156.91 and 75.77 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.66 : 156.91 = 75.77 : x
  2. Step 2: Convert to fraction form
    104.66/156.91 = 75.77/x
  3. Step 3: Cross multiply
    104.66x = 156.91 × 75.77
  4. Step 4: Simplify right side
    104.66x = 11,889.07
  5. Step 5: Solve for x
    x = 11,889.07/104.66
  6. Step 6: Final answer
    x = 113.60

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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.