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Finding the Fourth Proportional to 162, 223.70 and 125.35

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Solution

The fourth proportional to 162, 223.70 and 125.35 is: 173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 223.70 = 125.35 : x
  2. Step 2: Convert to fraction form
    162/223.70 = 125.35/x
  3. Step 3: Cross multiply
    162x = 223.70 × 125.35
  4. Step 4: Simplify right side
    162x = 28,039.61
  5. Step 5: Solve for x
    x = 28,039.61/162
  6. Step 6: Final answer
    x = 173.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.