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Finding the Fourth Proportional to 101.66, 152.33 and 75.86

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Solution

The fourth proportional to 101.66, 152.33 and 75.86 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 152.33 = 75.86 : x
  2. Step 2: Convert to fraction form
    101.66/152.33 = 75.86/x
  3. Step 3: Cross multiply
    101.66x = 152.33 × 75.86
  4. Step 4: Simplify right side
    101.66x = 11,555.75
  5. Step 5: Solve for x
    x = 11,555.75/101.66
  6. Step 6: Final answer
    x = 113.67

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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.