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Finding the Fourth Proportional to 57.66, 79.14 and 51.72

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Solution

The fourth proportional to 57.66, 79.14 and 51.72 is: 70.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 79.14 = 51.72 : x
  2. Step 2: Convert to fraction form
    57.66/79.14 = 51.72/x
  3. Step 3: Cross multiply
    57.66x = 79.14 × 51.72
  4. Step 4: Simplify right side
    57.66x = 4,093.12
  5. Step 5: Solve for x
    x = 4,093.12/57.66
  6. Step 6: Final answer
    x = 70.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.