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Finding the Fourth Proportional to 172.13, 258.11 and 123.35

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Solution

The fourth proportional to 172.13, 258.11 and 123.35 is: 184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 258.11 = 123.35 : x
  2. Step 2: Convert to fraction form
    172.13/258.11 = 123.35/x
  3. Step 3: Cross multiply
    172.13x = 258.11 × 123.35
  4. Step 4: Simplify right side
    172.13x = 31,836.42
  5. Step 5: Solve for x
    x = 31,836.42/172.13
  6. Step 6: Final answer
    x = 184.96

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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.