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Finding the Fourth Proportional to 136.07, 204 and 78.35

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Solution

The fourth proportional to 136.07, 204 and 78.35 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.07 : 204 = 78.35 : x
  2. Step 2: Convert to fraction form
    136.07/204 = 78.35/x
  3. Step 3: Cross multiply
    136.07x = 204 × 78.35
  4. Step 4: Simplify right side
    136.07x = 15,983.40
  5. Step 5: Solve for x
    x = 15,983.40/136.07
  6. Step 6: Final answer
    x = 117.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.