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Finding the Fourth Proportional to 51.64, 71.30 and 37.11

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Solution

The fourth proportional to 51.64, 71.30 and 37.11 is: 51.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.64 : 71.30 = 37.11 : x
  2. Step 2: Convert to fraction form
    51.64/71.30 = 37.11/x
  3. Step 3: Cross multiply
    51.64x = 71.30 × 37.11
  4. Step 4: Simplify right side
    51.64x = 2,645.94
  5. Step 5: Solve for x
    x = 2,645.94/51.64
  6. Step 6: Final answer
    x = 51.24

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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.