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Finding the Fourth Proportional to 88.55, 132.82 and 24.42

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Solution

The fourth proportional to 88.55, 132.82 and 24.42 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.55 : 132.82 = 24.42 : x
  2. Step 2: Convert to fraction form
    88.55/132.82 = 24.42/x
  3. Step 3: Cross multiply
    88.55x = 132.82 × 24.42
  4. Step 4: Simplify right side
    88.55x = 3,243.99
  5. Step 5: Solve for x
    x = 3,243.99/88.55
  6. Step 6: Final answer
    x = 36.64

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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.