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Finding the Fourth Proportional to 71.05, 106.50 and 36.81

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Solution

The fourth proportional to 71.05, 106.50 and 36.81 is: 55.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.05 : 106.50 = 36.81 : x
  2. Step 2: Convert to fraction form
    71.05/106.50 = 36.81/x
  3. Step 3: Cross multiply
    71.05x = 106.50 × 36.81
  4. Step 4: Simplify right side
    71.05x = 3,919.82
  5. Step 5: Solve for x
    x = 3,919.82/71.05
  6. Step 6: Final answer
    x = 55.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.