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Finding the Fourth Proportional to 134.16, 201.02 and 80.02

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Solution

The fourth proportional to 134.16, 201.02 and 80.02 is: 119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 201.02 = 80.02 : x
  2. Step 2: Convert to fraction form
    134.16/201.02 = 80.02/x
  3. Step 3: Cross multiply
    134.16x = 201.02 × 80.02
  4. Step 4: Simplify right side
    134.16x = 16,085.82
  5. Step 5: Solve for x
    x = 16,085.82/134.16
  6. Step 6: Final answer
    x = 119.90

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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.