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Finding the Fourth Proportional to 134.80, 202.08 and 102.64

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Solution

The fourth proportional to 134.80, 202.08 and 102.64 is: 153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 202.08 = 102.64 : x
  2. Step 2: Convert to fraction form
    134.80/202.08 = 102.64/x
  3. Step 3: Cross multiply
    134.80x = 202.08 × 102.64
  4. Step 4: Simplify right side
    134.80x = 20,741.49
  5. Step 5: Solve for x
    x = 20,741.49/134.80
  6. Step 6: Final answer
    x = 153.87

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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.