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Finding the Fourth Proportional to 82.18, 113.40 and 52.66

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Solution

The fourth proportional to 82.18, 113.40 and 52.66 is: 72.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.18 : 113.40 = 52.66 : x
  2. Step 2: Convert to fraction form
    82.18/113.40 = 52.66/x
  3. Step 3: Cross multiply
    82.18x = 113.40 × 52.66
  4. Step 4: Simplify right side
    82.18x = 5,971.64
  5. Step 5: Solve for x
    x = 5,971.64/82.18
  6. Step 6: Final answer
    x = 72.67

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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.