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Finding the Fourth Proportional to 172.64, 258.96 and 100.46

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Solution

The fourth proportional to 172.64, 258.96 and 100.46 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 258.96 = 100.46 : x
  2. Step 2: Convert to fraction form
    172.64/258.96 = 100.46/x
  3. Step 3: Cross multiply
    172.64x = 258.96 × 100.46
  4. Step 4: Simplify right side
    172.64x = 26,016.15
  5. Step 5: Solve for x
    x = 26,016.15/172.64
  6. Step 6: Final answer
    x = 150.69

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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.