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Finding the Fourth Proportional to 70.45, 96.57 and 70.31

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Solution

The fourth proportional to 70.45, 96.57 and 70.31 is: 96.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.45 : 96.57 = 70.31 : x
  2. Step 2: Convert to fraction form
    70.45/96.57 = 70.31/x
  3. Step 3: Cross multiply
    70.45x = 96.57 × 70.31
  4. Step 4: Simplify right side
    70.45x = 6,789.84
  5. Step 5: Solve for x
    x = 6,789.84/70.45
  6. Step 6: Final answer
    x = 96.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.