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Finding the Fourth Proportional to 119.07, 177.38 and 114.72

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Solution

The fourth proportional to 119.07, 177.38 and 114.72 is: 170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 177.38 = 114.72 : x
  2. Step 2: Convert to fraction form
    119.07/177.38 = 114.72/x
  3. Step 3: Cross multiply
    119.07x = 177.38 × 114.72
  4. Step 4: Simplify right side
    119.07x = 20,349.03
  5. Step 5: Solve for x
    x = 20,349.03/119.07
  6. Step 6: Final answer
    x = 170.90

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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.