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Finding the Fourth Proportional to 82.14, 123.26 and 59.26

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Solution

The fourth proportional to 82.14, 123.26 and 59.26 is: 88.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 123.26 = 59.26 : x
  2. Step 2: Convert to fraction form
    82.14/123.26 = 59.26/x
  3. Step 3: Cross multiply
    82.14x = 123.26 × 59.26
  4. Step 4: Simplify right side
    82.14x = 7,304.39
  5. Step 5: Solve for x
    x = 7,304.39/82.14
  6. Step 6: Final answer
    x = 88.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.