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Finding the Fourth Proportional to 134.23, 201.20 and 65.65

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Solution

The fourth proportional to 134.23, 201.20 and 65.65 is: 98.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.23 : 201.20 = 65.65 : x
  2. Step 2: Convert to fraction form
    134.23/201.20 = 65.65/x
  3. Step 3: Cross multiply
    134.23x = 201.20 × 65.65
  4. Step 4: Simplify right side
    134.23x = 13,208.45
  5. Step 5: Solve for x
    x = 13,208.45/134.23
  6. Step 6: Final answer
    x = 98.41

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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.