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Finding the Fourth Proportional to 56.13, 83.80 and 52.68

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Solution

The fourth proportional to 56.13, 83.80 and 52.68 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 83.80 = 52.68 : x
  2. Step 2: Convert to fraction form
    56.13/83.80 = 52.68/x
  3. Step 3: Cross multiply
    56.13x = 83.80 × 52.68
  4. Step 4: Simplify right side
    56.13x = 4,414.96
  5. Step 5: Solve for x
    x = 4,414.96/56.13
  6. Step 6: Final answer
    x = 78.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.