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Finding the Fourth Proportional to 136.90, 189.17 and 102.07

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Solution

The fourth proportional to 136.90, 189.17 and 102.07 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 189.17 = 102.07 : x
  2. Step 2: Convert to fraction form
    136.90/189.17 = 102.07/x
  3. Step 3: Cross multiply
    136.90x = 189.17 × 102.07
  4. Step 4: Simplify right side
    136.90x = 19,308.58
  5. Step 5: Solve for x
    x = 19,308.58/136.90
  6. Step 6: Final answer
    x = 141.04

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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.