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Finding the Fourth Proportional to 51.51, 76.86 and 48.32

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Solution

The fourth proportional to 51.51, 76.86 and 48.32 is: 72.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.51 : 76.86 = 48.32 : x
  2. Step 2: Convert to fraction form
    51.51/76.86 = 48.32/x
  3. Step 3: Cross multiply
    51.51x = 76.86 × 48.32
  4. Step 4: Simplify right side
    51.51x = 3,713.88
  5. Step 5: Solve for x
    x = 3,713.88/51.51
  6. Step 6: Final answer
    x = 72.10

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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.