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Finding the Fourth Proportional to 111.70, 167.10 and 77.32

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Solution

The fourth proportional to 111.70, 167.10 and 77.32 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.10 = 77.32 : x
  2. Step 2: Convert to fraction form
    111.70/167.10 = 77.32/x
  3. Step 3: Cross multiply
    111.70x = 167.10 × 77.32
  4. Step 4: Simplify right side
    111.70x = 12,920.17
  5. Step 5: Solve for x
    x = 12,920.17/111.70
  6. Step 6: Final answer
    x = 115.67

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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.