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Finding the Fourth Proportional to 99.74, 137.75 and 76.19

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Solution

The fourth proportional to 99.74, 137.75 and 76.19 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.74 : 137.75 = 76.19 : x
  2. Step 2: Convert to fraction form
    99.74/137.75 = 76.19/x
  3. Step 3: Cross multiply
    99.74x = 137.75 × 76.19
  4. Step 4: Simplify right side
    99.74x = 10,494.10
  5. Step 5: Solve for x
    x = 10,494.10/99.74
  6. Step 6: Final answer
    x = 105.21

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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.