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Finding the Fourth Proportional to 134.48, 201.82 and 65.94

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Solution

The fourth proportional to 134.48, 201.82 and 65.94 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.48 : 201.82 = 65.94 : x
  2. Step 2: Convert to fraction form
    134.48/201.82 = 65.94/x
  3. Step 3: Cross multiply
    134.48x = 201.82 × 65.94
  4. Step 4: Simplify right side
    134.48x = 13,308.01
  5. Step 5: Solve for x
    x = 13,308.01/134.48
  6. Step 6: Final answer
    x = 98.96

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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.