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Finding the Fourth Proportional to 119.12, 177.69 and 103.02

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Solution

The fourth proportional to 119.12, 177.69 and 103.02 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.12 : 177.69 = 103.02 : x
  2. Step 2: Convert to fraction form
    119.12/177.69 = 103.02/x
  3. Step 3: Cross multiply
    119.12x = 177.69 × 103.02
  4. Step 4: Simplify right side
    119.12x = 18,306.34
  5. Step 5: Solve for x
    x = 18,306.34/119.12
  6. Step 6: Final answer
    x = 153.68

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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.