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Finding the Fourth Proportional to 70.76, 96.94 and 68.02

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Solution

The fourth proportional to 70.76, 96.94 and 68.02 is: 93.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.76 : 96.94 = 68.02 : x
  2. Step 2: Convert to fraction form
    70.76/96.94 = 68.02/x
  3. Step 3: Cross multiply
    70.76x = 96.94 × 68.02
  4. Step 4: Simplify right side
    70.76x = 6,594.06
  5. Step 5: Solve for x
    x = 6,594.06/70.76
  6. Step 6: Final answer
    x = 93.19

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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.