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Finding the Fourth Proportional to 51.57, 76.98 and 43.00

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Solution

The fourth proportional to 51.57, 76.98 and 43.00 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 76.98 = 43.00 : x
  2. Step 2: Convert to fraction form
    51.57/76.98 = 43.00/x
  3. Step 3: Cross multiply
    51.57x = 76.98 × 43.00
  4. Step 4: Simplify right side
    51.57x = 3,310.11
  5. Step 5: Solve for x
    x = 3,310.11/51.57
  6. Step 6: Final answer
    x = 64.19

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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.