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Finding the Fourth Proportional to 105.26, 156.65 and 101.42

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Solution

The fourth proportional to 105.26, 156.65 and 101.42 is: 150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 156.65 = 101.42 : x
  2. Step 2: Convert to fraction form
    105.26/156.65 = 101.42/x
  3. Step 3: Cross multiply
    105.26x = 156.65 × 101.42
  4. Step 4: Simplify right side
    105.26x = 15,886.94
  5. Step 5: Solve for x
    x = 15,886.94/105.26
  6. Step 6: Final answer
    x = 150.93

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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.