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Finding the Fourth Proportional to 105.68, 157.62 and 91.07

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Solution

The fourth proportional to 105.68, 157.62 and 91.07 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 157.62 = 91.07 : x
  2. Step 2: Convert to fraction form
    105.68/157.62 = 91.07/x
  3. Step 3: Cross multiply
    105.68x = 157.62 × 91.07
  4. Step 4: Simplify right side
    105.68x = 14,354.45
  5. Step 5: Solve for x
    x = 14,354.45/105.68
  6. Step 6: Final answer
    x = 135.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.