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Finding the Fourth Proportional to 132.84, 198.96 and 102.24

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Solution

The fourth proportional to 132.84, 198.96 and 102.24 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 198.96 = 102.24 : x
  2. Step 2: Convert to fraction form
    132.84/198.96 = 102.24/x
  3. Step 3: Cross multiply
    132.84x = 198.96 × 102.24
  4. Step 4: Simplify right side
    132.84x = 20,341.67
  5. Step 5: Solve for x
    x = 20,341.67/132.84
  6. Step 6: Final answer
    x = 153.13

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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.