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Finding the Fourth Proportional to 134.64, 202.09 and 89.02

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Solution

The fourth proportional to 134.64, 202.09 and 89.02 is: 133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 202.09 = 89.02 : x
  2. Step 2: Convert to fraction form
    134.64/202.09 = 89.02/x
  3. Step 3: Cross multiply
    134.64x = 202.09 × 89.02
  4. Step 4: Simplify right side
    134.64x = 17,989.32
  5. Step 5: Solve for x
    x = 17,989.32/134.64
  6. Step 6: Final answer
    x = 133.61

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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.