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Finding the Fourth Proportional to 99.80, 137.60 and 70.70

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Solution

The fourth proportional to 99.80, 137.60 and 70.70 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.80 : 137.60 = 70.70 : x
  2. Step 2: Convert to fraction form
    99.80/137.60 = 70.70/x
  3. Step 3: Cross multiply
    99.80x = 137.60 × 70.70
  4. Step 4: Simplify right side
    99.80x = 9,728.32
  5. Step 5: Solve for x
    x = 9,728.32/99.80
  6. Step 6: Final answer
    x = 97.48

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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.