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Finding the Fourth Proportional to 110.02, 151.64 and 73.20

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Solution

The fourth proportional to 110.02, 151.64 and 73.20 is: 100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 151.64 = 73.20 : x
  2. Step 2: Convert to fraction form
    110.02/151.64 = 73.20/x
  3. Step 3: Cross multiply
    110.02x = 151.64 × 73.20
  4. Step 4: Simplify right side
    110.02x = 11,100.05
  5. Step 5: Solve for x
    x = 11,100.05/110.02
  6. Step 6: Final answer
    x = 100.89

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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.