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Finding the Fourth Proportional to 132.68, 199.10 and 102.32

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Solution

The fourth proportional to 132.68, 199.10 and 102.32 is: 153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.68 : 199.10 = 102.32 : x
  2. Step 2: Convert to fraction form
    132.68/199.10 = 102.32/x
  3. Step 3: Cross multiply
    132.68x = 199.10 × 102.32
  4. Step 4: Simplify right side
    132.68x = 20,371.91
  5. Step 5: Solve for x
    x = 20,371.91/132.68
  6. Step 6: Final answer
    x = 153.54

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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.