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Finding the Fourth Proportional to 88.21, 132.52 and 82.14

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Solution

The fourth proportional to 88.21, 132.52 and 82.14 is: 123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.21 : 132.52 = 82.14 : x
  2. Step 2: Convert to fraction form
    88.21/132.52 = 82.14/x
  3. Step 3: Cross multiply
    88.21x = 132.52 × 82.14
  4. Step 4: Simplify right side
    88.21x = 10,885.19
  5. Step 5: Solve for x
    x = 10,885.19/88.21
  6. Step 6: Final answer
    x = 123.40

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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.