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Finding the Fourth Proportional to 63.97, 88.32 and 40.67

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Solution

The fourth proportional to 63.97, 88.32 and 40.67 is: 56.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.97 : 88.32 = 40.67 : x
  2. Step 2: Convert to fraction form
    63.97/88.32 = 40.67/x
  3. Step 3: Cross multiply
    63.97x = 88.32 × 40.67
  4. Step 4: Simplify right side
    63.97x = 3,591.97
  5. Step 5: Solve for x
    x = 3,591.97/63.97
  6. Step 6: Final answer
    x = 56.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.