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Finding the Fourth Proportional to 75.11, 103.64 and 55.71

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Solution

The fourth proportional to 75.11, 103.64 and 55.71 is: 76.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.11 : 103.64 = 55.71 : x
  2. Step 2: Convert to fraction form
    75.11/103.64 = 55.71/x
  3. Step 3: Cross multiply
    75.11x = 103.64 × 55.71
  4. Step 4: Simplify right side
    75.11x = 5,773.51
  5. Step 5: Solve for x
    x = 5,773.51/75.11
  6. Step 6: Final answer
    x = 76.87

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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.