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Finding the Fourth Proportional to 117.46, 162 and 82.42

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Solution

The fourth proportional to 117.46, 162 and 82.42 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 162 = 82.42 : x
  2. Step 2: Convert to fraction form
    117.46/162 = 82.42/x
  3. Step 3: Cross multiply
    117.46x = 162 × 82.42
  4. Step 4: Simplify right side
    117.46x = 13,352.04
  5. Step 5: Solve for x
    x = 13,352.04/117.46
  6. Step 6: Final answer
    x = 113.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.