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Finding the Fourth Proportional to 81.18, 111.84 and 52.02

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Solution

The fourth proportional to 81.18, 111.84 and 52.02 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.18 : 111.84 = 52.02 : x
  2. Step 2: Convert to fraction form
    81.18/111.84 = 52.02/x
  3. Step 3: Cross multiply
    81.18x = 111.84 × 52.02
  4. Step 4: Simplify right side
    81.18x = 5,817.92
  5. Step 5: Solve for x
    x = 5,817.92/81.18
  6. Step 6: Final answer
    x = 71.67

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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.