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Finding the Fourth Proportional to 88.62, 132.84 and 42.94

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Solution

The fourth proportional to 88.62, 132.84 and 42.94 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.62 : 132.84 = 42.94 : x
  2. Step 2: Convert to fraction form
    88.62/132.84 = 42.94/x
  3. Step 3: Cross multiply
    88.62x = 132.84 × 42.94
  4. Step 4: Simplify right side
    88.62x = 5,704.15
  5. Step 5: Solve for x
    x = 5,704.15/88.62
  6. Step 6: Final answer
    x = 64.37

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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.