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Finding the Fourth Proportional to 170.45, 256.07 and 109.70

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Solution

The fourth proportional to 170.45, 256.07 and 109.70 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.45 : 256.07 = 109.70 : x
  2. Step 2: Convert to fraction form
    170.45/256.07 = 109.70/x
  3. Step 3: Cross multiply
    170.45x = 256.07 × 109.70
  4. Step 4: Simplify right side
    170.45x = 28,090.88
  5. Step 5: Solve for x
    x = 28,090.88/170.45
  6. Step 6: Final answer
    x = 164.80

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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.