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Finding the Fourth Proportional to 136.65, 205.07 and 102.50

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Solution

The fourth proportional to 136.65, 205.07 and 102.50 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.65 : 205.07 = 102.50 : x
  2. Step 2: Convert to fraction form
    136.65/205.07 = 102.50/x
  3. Step 3: Cross multiply
    136.65x = 205.07 × 102.50
  4. Step 4: Simplify right side
    136.65x = 21,019.77
  5. Step 5: Solve for x
    x = 21,019.77/136.65
  6. Step 6: Final answer
    x = 153.82

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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.