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Finding the Fourth Proportional to 74.88, 112.82 and 69.12

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Solution

The fourth proportional to 74.88, 112.82 and 69.12 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 112.82 = 69.12 : x
  2. Step 2: Convert to fraction form
    74.88/112.82 = 69.12/x
  3. Step 3: Cross multiply
    74.88x = 112.82 × 69.12
  4. Step 4: Simplify right side
    74.88x = 7,797.77
  5. Step 5: Solve for x
    x = 7,797.77/74.88
  6. Step 6: Final answer
    x = 104.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.