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Finding the Fourth Proportional to 134.42, 201.21 and 102.04

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Solution

The fourth proportional to 134.42, 201.21 and 102.04 is: 152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.42 : 201.21 = 102.04 : x
  2. Step 2: Convert to fraction form
    134.42/201.21 = 102.04/x
  3. Step 3: Cross multiply
    134.42x = 201.21 × 102.04
  4. Step 4: Simplify right side
    134.42x = 20,532.00
  5. Step 5: Solve for x
    x = 20,532.00/134.42
  6. Step 6: Final answer
    x = 152.75

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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.