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Finding the Fourth Proportional to 110.88, 153.12 and 72.16

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Solution

The fourth proportional to 110.88, 153.12 and 72.16 is: 99.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 153.12 = 72.16 : x
  2. Step 2: Convert to fraction form
    110.88/153.12 = 72.16/x
  3. Step 3: Cross multiply
    110.88x = 153.12 × 72.16
  4. Step 4: Simplify right side
    110.88x = 11,049.14
  5. Step 5: Solve for x
    x = 11,049.14/110.88
  6. Step 6: Final answer
    x = 99.65

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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.