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Finding the Fourth Proportional to 82.67, 114.13 and 59.06

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Solution

The fourth proportional to 82.67, 114.13 and 59.06 is: 81.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.67 : 114.13 = 59.06 : x
  2. Step 2: Convert to fraction form
    82.67/114.13 = 59.06/x
  3. Step 3: Cross multiply
    82.67x = 114.13 × 59.06
  4. Step 4: Simplify right side
    82.67x = 6,740.37
  5. Step 5: Solve for x
    x = 6,740.37/82.67
  6. Step 6: Final answer
    x = 81.53

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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.