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Finding the Fourth Proportional to 51, 76.86 and 42.63

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Solution

The fourth proportional to 51, 76.86 and 42.63 is: 64.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 76.86 = 42.63 : x
  2. Step 2: Convert to fraction form
    51/76.86 = 42.63/x
  3. Step 3: Cross multiply
    51x = 76.86 × 42.63
  4. Step 4: Simplify right side
    51x = 3,276.33
  5. Step 5: Solve for x
    x = 3,276.33/51
  6. Step 6: Final answer
    x = 64.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.