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Finding the Fourth Proportional to 69.42, 95.70 and 57.12

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Solution

The fourth proportional to 69.42, 95.70 and 57.12 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 95.70 = 57.12 : x
  2. Step 2: Convert to fraction form
    69.42/95.70 = 57.12/x
  3. Step 3: Cross multiply
    69.42x = 95.70 × 57.12
  4. Step 4: Simplify right side
    69.42x = 5,466.38
  5. Step 5: Solve for x
    x = 5,466.38/69.42
  6. Step 6: Final answer
    x = 78.74

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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.