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Finding the Fourth Proportional to 88.64, 133.42 and 75.43

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Solution

The fourth proportional to 88.64, 133.42 and 75.43 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.64 : 133.42 = 75.43 : x
  2. Step 2: Convert to fraction form
    88.64/133.42 = 75.43/x
  3. Step 3: Cross multiply
    88.64x = 133.42 × 75.43
  4. Step 4: Simplify right side
    88.64x = 10,063.20
  5. Step 5: Solve for x
    x = 10,063.20/88.64
  6. Step 6: Final answer
    x = 113.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.