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Finding the Fourth Proportional to 75.13, 103.70 and 49.25

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Solution

The fourth proportional to 75.13, 103.70 and 49.25 is: 67.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.13 : 103.70 = 49.25 : x
  2. Step 2: Convert to fraction form
    75.13/103.70 = 49.25/x
  3. Step 3: Cross multiply
    75.13x = 103.70 × 49.25
  4. Step 4: Simplify right side
    75.13x = 5,107.23
  5. Step 5: Solve for x
    x = 5,107.23/75.13
  6. Step 6: Final answer
    x = 67.98

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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.