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Finding the Fourth Proportional to 105.71, 145.80 and 76.68

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Solution

The fourth proportional to 105.71, 145.80 and 76.68 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 145.80 = 76.68 : x
  2. Step 2: Convert to fraction form
    105.71/145.80 = 76.68/x
  3. Step 3: Cross multiply
    105.71x = 145.80 × 76.68
  4. Step 4: Simplify right side
    105.71x = 11,179.94
  5. Step 5: Solve for x
    x = 11,179.94/105.71
  6. Step 6: Final answer
    x = 105.77

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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.