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Finding the Fourth Proportional to 105.68, 145.06 and 91.10

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Solution

The fourth proportional to 105.68, 145.06 and 91.10 is: 125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 145.06 = 91.10 : x
  2. Step 2: Convert to fraction form
    105.68/145.06 = 91.10/x
  3. Step 3: Cross multiply
    105.68x = 145.06 × 91.10
  4. Step 4: Simplify right side
    105.68x = 13,214.97
  5. Step 5: Solve for x
    x = 13,214.97/105.68
  6. Step 6: Final answer
    x = 125.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.