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Finding the Fourth Proportional to 85.96, 118.53 and 70.37

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Solution

The fourth proportional to 85.96, 118.53 and 70.37 is: 97.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 118.53 = 70.37 : x
  2. Step 2: Convert to fraction form
    85.96/118.53 = 70.37/x
  3. Step 3: Cross multiply
    85.96x = 118.53 × 70.37
  4. Step 4: Simplify right side
    85.96x = 8,340.96
  5. Step 5: Solve for x
    x = 8,340.96/85.96
  6. Step 6: Final answer
    x = 97.03

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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.