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Finding the Fourth Proportional to 74.31, 111.98 and 72.69

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Solution

The fourth proportional to 74.31, 111.98 and 72.69 is: 109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 111.98 = 72.69 : x
  2. Step 2: Convert to fraction form
    74.31/111.98 = 72.69/x
  3. Step 3: Cross multiply
    74.31x = 111.98 × 72.69
  4. Step 4: Simplify right side
    74.31x = 8,139.46
  5. Step 5: Solve for x
    x = 8,139.46/74.31
  6. Step 6: Final answer
    x = 109.53

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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.