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Finding the Fourth Proportional to 104.45, 156.65 and 55.70

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Solution

The fourth proportional to 104.45, 156.65 and 55.70 is: 83.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.45 : 156.65 = 55.70 : x
  2. Step 2: Convert to fraction form
    104.45/156.65 = 55.70/x
  3. Step 3: Cross multiply
    104.45x = 156.65 × 55.70
  4. Step 4: Simplify right side
    104.45x = 8,724.34
  5. Step 5: Solve for x
    x = 8,724.34/104.45
  6. Step 6: Final answer
    x = 83.53

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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.