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Finding the Fourth Proportional to 134.38, 201.47 and 65.84

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Solution

The fourth proportional to 134.38, 201.47 and 65.84 is: 98.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.38 : 201.47 = 65.84 : x
  2. Step 2: Convert to fraction form
    134.38/201.47 = 65.84/x
  3. Step 3: Cross multiply
    134.38x = 201.47 × 65.84
  4. Step 4: Simplify right side
    134.38x = 13,264.78
  5. Step 5: Solve for x
    x = 13,264.78/134.38
  6. Step 6: Final answer
    x = 98.71

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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.