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Finding the Fourth Proportional to 110.01, 151.64 and 77.21

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Solution

The fourth proportional to 110.01, 151.64 and 77.21 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.01 : 151.64 = 77.21 : x
  2. Step 2: Convert to fraction form
    110.01/151.64 = 77.21/x
  3. Step 3: Cross multiply
    110.01x = 151.64 × 77.21
  4. Step 4: Simplify right side
    110.01x = 11,707.36
  5. Step 5: Solve for x
    x = 11,707.36/110.01
  6. Step 6: Final answer
    x = 106.42

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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.