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Finding the Fourth Proportional to 47.96, 72.08 and 42.96

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Solution

The fourth proportional to 47.96, 72.08 and 42.96 is: 64.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.96 : 72.08 = 42.96 : x
  2. Step 2: Convert to fraction form
    47.96/72.08 = 42.96/x
  3. Step 3: Cross multiply
    47.96x = 72.08 × 42.96
  4. Step 4: Simplify right side
    47.96x = 3,096.34
  5. Step 5: Solve for x
    x = 3,096.34/47.96
  6. Step 6: Final answer
    x = 64.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.