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Finding the Fourth Proportional to 55.50, 76.68 and 51.12

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Solution

The fourth proportional to 55.50, 76.68 and 51.12 is: 70.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 76.68 = 51.12 : x
  2. Step 2: Convert to fraction form
    55.50/76.68 = 51.12/x
  3. Step 3: Cross multiply
    55.50x = 76.68 × 51.12
  4. Step 4: Simplify right side
    55.50x = 3,919.88
  5. Step 5: Solve for x
    x = 3,919.88/55.50
  6. Step 6: Final answer
    x = 70.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.