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Finding the Fourth Proportional to 132.16, 198.24 and 71.40

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Solution

The fourth proportional to 132.16, 198.24 and 71.40 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 198.24 = 71.40 : x
  2. Step 2: Convert to fraction form
    132.16/198.24 = 71.40/x
  3. Step 3: Cross multiply
    132.16x = 198.24 × 71.40
  4. Step 4: Simplify right side
    132.16x = 14,154.34
  5. Step 5: Solve for x
    x = 14,154.34/132.16
  6. Step 6: Final answer
    x = 107.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.