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Finding the Fourth Proportional to 119.01, 177.15 and 117.27

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Solution

The fourth proportional to 119.01, 177.15 and 117.27 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.01 : 177.15 = 117.27 : x
  2. Step 2: Convert to fraction form
    119.01/177.15 = 117.27/x
  3. Step 3: Cross multiply
    119.01x = 177.15 × 117.27
  4. Step 4: Simplify right side
    119.01x = 20,774.38
  5. Step 5: Solve for x
    x = 20,774.38/119.01
  6. Step 6: Final answer
    x = 174.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.