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Finding the Fourth Proportional to 88.46, 132.80 and 55.97

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Solution

The fourth proportional to 88.46, 132.80 and 55.97 is: 84.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.46 : 132.80 = 55.97 : x
  2. Step 2: Convert to fraction form
    88.46/132.80 = 55.97/x
  3. Step 3: Cross multiply
    88.46x = 132.80 × 55.97
  4. Step 4: Simplify right side
    88.46x = 7,431.87
  5. Step 5: Solve for x
    x = 7,431.87/88.46
  6. Step 6: Final answer
    x = 84.02

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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.