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Finding the Fourth Proportional to 84.93, 126.77 and 74.07

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Solution

The fourth proportional to 84.93, 126.77 and 74.07 is: 110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.93 : 126.77 = 74.07 : x
  2. Step 2: Convert to fraction form
    84.93/126.77 = 74.07/x
  3. Step 3: Cross multiply
    84.93x = 126.77 × 74.07
  4. Step 4: Simplify right side
    84.93x = 9,389.48
  5. Step 5: Solve for x
    x = 9,389.48/84.93
  6. Step 6: Final answer
    x = 110.56

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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.