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Finding the Fourth Proportional to 80.04, 110.46 and 46.86

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Solution

The fourth proportional to 80.04, 110.46 and 46.86 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.04 : 110.46 = 46.86 : x
  2. Step 2: Convert to fraction form
    80.04/110.46 = 46.86/x
  3. Step 3: Cross multiply
    80.04x = 110.46 × 46.86
  4. Step 4: Simplify right side
    80.04x = 5,176.16
  5. Step 5: Solve for x
    x = 5,176.16/80.04
  6. Step 6: Final answer
    x = 64.67

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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.