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Finding the Fourth Proportional to 104.64, 155.82 and 100.50

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Solution

The fourth proportional to 104.64, 155.82 and 100.50 is: 149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.64 : 155.82 = 100.50 : x
  2. Step 2: Convert to fraction form
    104.64/155.82 = 100.50/x
  3. Step 3: Cross multiply
    104.64x = 155.82 × 100.50
  4. Step 4: Simplify right side
    104.64x = 15,659.91
  5. Step 5: Solve for x
    x = 15,659.91/104.64
  6. Step 6: Final answer
    x = 149.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.