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Finding the Fourth Proportional to 105.74, 145.92 and 96.02

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Solution

The fourth proportional to 105.74, 145.92 and 96.02 is: 132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 145.92 = 96.02 : x
  2. Step 2: Convert to fraction form
    105.74/145.92 = 96.02/x
  3. Step 3: Cross multiply
    105.74x = 145.92 × 96.02
  4. Step 4: Simplify right side
    105.74x = 14,011.24
  5. Step 5: Solve for x
    x = 14,011.24/105.74
  6. Step 6: Final answer
    x = 132.51

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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.