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Finding the Fourth Proportional to 69.64, 96.62 and 68.04

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Solution

The fourth proportional to 69.64, 96.62 and 68.04 is: 94.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.64 : 96.62 = 68.04 : x
  2. Step 2: Convert to fraction form
    69.64/96.62 = 68.04/x
  3. Step 3: Cross multiply
    69.64x = 96.62 × 68.04
  4. Step 4: Simplify right side
    69.64x = 6,574.02
  5. Step 5: Solve for x
    x = 6,574.02/69.64
  6. Step 6: Final answer
    x = 94.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.