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Finding the Fourth Proportional to 177.42, 245.03 and 125.11

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Solution

The fourth proportional to 177.42, 245.03 and 125.11 is: 172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 245.03 = 125.11 : x
  2. Step 2: Convert to fraction form
    177.42/245.03 = 125.11/x
  3. Step 3: Cross multiply
    177.42x = 245.03 × 125.11
  4. Step 4: Simplify right side
    177.42x = 30,655.38
  5. Step 5: Solve for x
    x = 30,655.38/177.42
  6. Step 6: Final answer
    x = 172.78

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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.