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Finding the Fourth Proportional to 51.51, 76.64 and 51.06

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Solution

The fourth proportional to 51.51, 76.64 and 51.06 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.51 : 76.64 = 51.06 : x
  2. Step 2: Convert to fraction form
    51.51/76.64 = 51.06/x
  3. Step 3: Cross multiply
    51.51x = 76.64 × 51.06
  4. Step 4: Simplify right side
    51.51x = 3,913.24
  5. Step 5: Solve for x
    x = 3,913.24/51.51
  6. Step 6: Final answer
    x = 75.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.