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Finding the Fourth Proportional to 105.20, 145.13 and 75.66

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Solution

The fourth proportional to 105.20, 145.13 and 75.66 is: 104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 145.13 = 75.66 : x
  2. Step 2: Convert to fraction form
    105.20/145.13 = 75.66/x
  3. Step 3: Cross multiply
    105.20x = 145.13 × 75.66
  4. Step 4: Simplify right side
    105.20x = 10,980.16
  5. Step 5: Solve for x
    x = 10,980.16/105.20
  6. Step 6: Final answer
    x = 104.37

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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.