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Finding the Fourth Proportional to 132.78, 199.29 and 102.53

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Solution

The fourth proportional to 132.78, 199.29 and 102.53 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 199.29 = 102.53 : x
  2. Step 2: Convert to fraction form
    132.78/199.29 = 102.53/x
  3. Step 3: Cross multiply
    132.78x = 199.29 × 102.53
  4. Step 4: Simplify right side
    132.78x = 20,432.69
  5. Step 5: Solve for x
    x = 20,432.69/132.78
  6. Step 6: Final answer
    x = 153.88

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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.