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Finding the Fourth Proportional to 90.18, 134.90 and 75.76

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Solution

The fourth proportional to 90.18, 134.90 and 75.76 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.18 : 134.90 = 75.76 : x
  2. Step 2: Convert to fraction form
    90.18/134.90 = 75.76/x
  3. Step 3: Cross multiply
    90.18x = 134.90 × 75.76
  4. Step 4: Simplify right side
    90.18x = 10,220.02
  5. Step 5: Solve for x
    x = 10,220.02/90.18
  6. Step 6: Final answer
    x = 113.33

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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.