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Finding the Fourth Proportional to 88.58, 132.85 and 27.70

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Solution

The fourth proportional to 88.58, 132.85 and 27.70 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.58 : 132.85 = 27.70 : x
  2. Step 2: Convert to fraction form
    88.58/132.85 = 27.70/x
  3. Step 3: Cross multiply
    88.58x = 132.85 × 27.70
  4. Step 4: Simplify right side
    88.58x = 3,679.49
  5. Step 5: Solve for x
    x = 3,679.49/88.58
  6. Step 6: Final answer
    x = 41.54

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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.