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Finding the Fourth Proportional to 66.92, 92.52 and 56

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Solution

The fourth proportional to 66.92, 92.52 and 56 is: 77.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.92 : 92.52 = 56 : x
  2. Step 2: Convert to fraction form
    66.92/92.52 = 56/x
  3. Step 3: Cross multiply
    66.92x = 92.52 × 56
  4. Step 4: Simplify right side
    66.92x = 5,181.12
  5. Step 5: Solve for x
    x = 5,181.12/66.92
  6. Step 6: Final answer
    x = 77.42

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1.5x scale

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.