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Finding the Fourth Proportional to 74.90, 103.20 and 70.85

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Solution

The fourth proportional to 74.90, 103.20 and 70.85 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 103.20 = 70.85 : x
  2. Step 2: Convert to fraction form
    74.90/103.20 = 70.85/x
  3. Step 3: Cross multiply
    74.90x = 103.20 × 70.85
  4. Step 4: Simplify right side
    74.90x = 7,311.72
  5. Step 5: Solve for x
    x = 7,311.72/74.90
  6. Step 6: Final answer
    x = 97.62

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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.