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Finding the Fourth Proportional to 99.95, 137.99 and 70.49

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Solution

The fourth proportional to 99.95, 137.99 and 70.49 is: 97.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.95 : 137.99 = 70.49 : x
  2. Step 2: Convert to fraction form
    99.95/137.99 = 70.49/x
  3. Step 3: Cross multiply
    99.95x = 137.99 × 70.49
  4. Step 4: Simplify right side
    99.95x = 9,727.44
  5. Step 5: Solve for x
    x = 9,727.44/99.95
  6. Step 6: Final answer
    x = 97.33

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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.