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Finding the Fourth Proportional to 85.15, 127.16 and 71.62

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Solution

The fourth proportional to 85.15, 127.16 and 71.62 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.15 : 127.16 = 71.62 : x
  2. Step 2: Convert to fraction form
    85.15/127.16 = 71.62/x
  3. Step 3: Cross multiply
    85.15x = 127.16 × 71.62
  4. Step 4: Simplify right side
    85.15x = 9,107.20
  5. Step 5: Solve for x
    x = 9,107.20/85.15
  6. Step 6: Final answer
    x = 106.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.