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Finding the Fourth Proportional to 136.19, 187.96 and 107.03

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Solution

The fourth proportional to 136.19, 187.96 and 107.03 is: 147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.19 : 187.96 = 107.03 : x
  2. Step 2: Convert to fraction form
    136.19/187.96 = 107.03/x
  3. Step 3: Cross multiply
    136.19x = 187.96 × 107.03
  4. Step 4: Simplify right side
    136.19x = 20,117.11
  5. Step 5: Solve for x
    x = 20,117.11/136.19
  6. Step 6: Final answer
    x = 147.72

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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.