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Finding the Fourth Proportional to 69.67, 95.57 and 64.20

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Solution

The fourth proportional to 69.67, 95.57 and 64.20 is: 88.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 95.57 = 64.20 : x
  2. Step 2: Convert to fraction form
    69.67/95.57 = 64.20/x
  3. Step 3: Cross multiply
    69.67x = 95.57 × 64.20
  4. Step 4: Simplify right side
    69.67x = 6,135.59
  5. Step 5: Solve for x
    x = 6,135.59/69.67
  6. Step 6: Final answer
    x = 88.07

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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.