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Finding the Fourth Proportional to 51.57, 71.18 and 48.76

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Solution

The fourth proportional to 51.57, 71.18 and 48.76 is: 67.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 71.18 = 48.76 : x
  2. Step 2: Convert to fraction form
    51.57/71.18 = 48.76/x
  3. Step 3: Cross multiply
    51.57x = 71.18 × 48.76
  4. Step 4: Simplify right side
    51.57x = 3,470.32
  5. Step 5: Solve for x
    x = 3,470.32/51.57
  6. Step 6: Final answer
    x = 67.29

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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.