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Finding the Fourth Proportional to 119.04, 177.29 and 113.77

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Solution

The fourth proportional to 119.04, 177.29 and 113.77 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.04 : 177.29 = 113.77 : x
  2. Step 2: Convert to fraction form
    119.04/177.29 = 113.77/x
  3. Step 3: Cross multiply
    119.04x = 177.29 × 113.77
  4. Step 4: Simplify right side
    119.04x = 20,170.36
  5. Step 5: Solve for x
    x = 20,170.36/119.04
  6. Step 6: Final answer
    x = 169.45

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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.