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Finding the Fourth Proportional to 105.52, 157.18 and 101.68

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Solution

The fourth proportional to 105.52, 157.18 and 101.68 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 157.18 = 101.68 : x
  2. Step 2: Convert to fraction form
    105.52/157.18 = 101.68/x
  3. Step 3: Cross multiply
    105.52x = 157.18 × 101.68
  4. Step 4: Simplify right side
    105.52x = 15,982.06
  5. Step 5: Solve for x
    x = 15,982.06/105.52
  6. Step 6: Final answer
    x = 151.46

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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.