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Finding the Fourth Proportional to 88.25, 132.30 and 42.64

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Solution

The fourth proportional to 88.25, 132.30 and 42.64 is: 63.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.25 : 132.30 = 42.64 : x
  2. Step 2: Convert to fraction form
    88.25/132.30 = 42.64/x
  3. Step 3: Cross multiply
    88.25x = 132.30 × 42.64
  4. Step 4: Simplify right side
    88.25x = 5,640.94
  5. Step 5: Solve for x
    x = 5,640.94/88.25
  6. Step 6: Final answer
    x = 63.92

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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.