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Finding the Fourth Proportional to 97.09, 133.94 and 70.80

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Solution

The fourth proportional to 97.09, 133.94 and 70.80 is: 97.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.09 : 133.94 = 70.80 : x
  2. Step 2: Convert to fraction form
    97.09/133.94 = 70.80/x
  3. Step 3: Cross multiply
    97.09x = 133.94 × 70.80
  4. Step 4: Simplify right side
    97.09x = 9,482.95
  5. Step 5: Solve for x
    x = 9,482.95/97.09
  6. Step 6: Final answer
    x = 97.67

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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.