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Finding the Fourth Proportional to 88.72, 133 and 75.90

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Solution

The fourth proportional to 88.72, 133 and 75.90 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.72 : 133 = 75.90 : x
  2. Step 2: Convert to fraction form
    88.72/133 = 75.90/x
  3. Step 3: Cross multiply
    88.72x = 133 × 75.90
  4. Step 4: Simplify right side
    88.72x = 10,094.70
  5. Step 5: Solve for x
    x = 10,094.70/88.72
  6. Step 6: Final answer
    x = 113.78

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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.