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Finding the Fourth Proportional to 106.29, 146.61 and 75.24

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Solution

The fourth proportional to 106.29, 146.61 and 75.24 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 146.61 = 75.24 : x
  2. Step 2: Convert to fraction form
    106.29/146.61 = 75.24/x
  3. Step 3: Cross multiply
    106.29x = 146.61 × 75.24
  4. Step 4: Simplify right side
    106.29x = 11,030.94
  5. Step 5: Solve for x
    x = 11,030.94/106.29
  6. Step 6: Final answer
    x = 103.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.