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Finding the Fourth Proportional to 88.04, 131.92 and 76.50

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Solution

The fourth proportional to 88.04, 131.92 and 76.50 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.04 : 131.92 = 76.50 : x
  2. Step 2: Convert to fraction form
    88.04/131.92 = 76.50/x
  3. Step 3: Cross multiply
    88.04x = 131.92 × 76.50
  4. Step 4: Simplify right side
    88.04x = 10,091.69
  5. Step 5: Solve for x
    x = 10,091.69/88.04
  6. Step 6: Final answer
    x = 114.62

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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.