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Finding the Fourth Proportional to 74.99, 111.91 and 66.89

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Solution

The fourth proportional to 74.99, 111.91 and 66.89 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 111.91 = 66.89 : x
  2. Step 2: Convert to fraction form
    74.99/111.91 = 66.89/x
  3. Step 3: Cross multiply
    74.99x = 111.91 × 66.89
  4. Step 4: Simplify right side
    74.99x = 7,485.66
  5. Step 5: Solve for x
    x = 7,485.66/74.99
  6. Step 6: Final answer
    x = 99.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.