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Finding the Fourth Proportional to 60.29, 83.12 and 52.09

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Solution

The fourth proportional to 60.29, 83.12 and 52.09 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.29 : 83.12 = 52.09 : x
  2. Step 2: Convert to fraction form
    60.29/83.12 = 52.09/x
  3. Step 3: Cross multiply
    60.29x = 83.12 × 52.09
  4. Step 4: Simplify right side
    60.29x = 4,329.64
  5. Step 5: Solve for x
    x = 4,329.64/60.29
  6. Step 6: Final answer
    x = 71.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.