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Finding the Fourth Proportional to 75.09, 103.44 and 56.65

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Solution

The fourth proportional to 75.09, 103.44 and 56.65 is: 78.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 103.44 = 56.65 : x
  2. Step 2: Convert to fraction form
    75.09/103.44 = 56.65/x
  3. Step 3: Cross multiply
    75.09x = 103.44 × 56.65
  4. Step 4: Simplify right side
    75.09x = 5,860.02
  5. Step 5: Solve for x
    x = 5,860.02/75.09
  6. Step 6: Final answer
    x = 78.04

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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.