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Finding the Fourth Proportional to 74.96, 103.92 and 70.86

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Solution

The fourth proportional to 74.96, 103.92 and 70.86 is: 98.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 103.92 = 70.86 : x
  2. Step 2: Convert to fraction form
    74.96/103.92 = 70.86/x
  3. Step 3: Cross multiply
    74.96x = 103.92 × 70.86
  4. Step 4: Simplify right side
    74.96x = 7,363.77
  5. Step 5: Solve for x
    x = 7,363.77/74.96
  6. Step 6: Final answer
    x = 98.24

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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.