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Finding the Fourth Proportional to 136.67, 205.00 and 64.58

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Solution

The fourth proportional to 136.67, 205.00 and 64.58 is: 96.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.67 : 205.00 = 64.58 : x
  2. Step 2: Convert to fraction form
    136.67/205.00 = 64.58/x
  3. Step 3: Cross multiply
    136.67x = 205.00 × 64.58
  4. Step 4: Simplify right side
    136.67x = 13,237.71
  5. Step 5: Solve for x
    x = 13,237.71/136.67
  6. Step 6: Final answer
    x = 96.86

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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.