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Finding the Fourth Proportional to 60.34, 83.67 and 59.23

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Solution

The fourth proportional to 60.34, 83.67 and 59.23 is: 82.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.34 : 83.67 = 59.23 : x
  2. Step 2: Convert to fraction form
    60.34/83.67 = 59.23/x
  3. Step 3: Cross multiply
    60.34x = 83.67 × 59.23
  4. Step 4: Simplify right side
    60.34x = 4,955.36
  5. Step 5: Solve for x
    x = 4,955.36/60.34
  6. Step 6: Final answer
    x = 82.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.