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Finding the Fourth Proportional to 75.01, 103.43 and 65.80

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Solution

The fourth proportional to 75.01, 103.43 and 65.80 is: 90.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.01 : 103.43 = 65.80 : x
  2. Step 2: Convert to fraction form
    75.01/103.43 = 65.80/x
  3. Step 3: Cross multiply
    75.01x = 103.43 × 65.80
  4. Step 4: Simplify right side
    75.01x = 6,805.18
  5. Step 5: Solve for x
    x = 6,805.18/75.01
  6. Step 6: Final answer
    x = 90.72

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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.