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Finding the Fourth Proportional to 81.82, 113.02 and 60.10

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Solution

The fourth proportional to 81.82, 113.02 and 60.10 is: 83.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.82 : 113.02 = 60.10 : x
  2. Step 2: Convert to fraction form
    81.82/113.02 = 60.10/x
  3. Step 3: Cross multiply
    81.82x = 113.02 × 60.10
  4. Step 4: Simplify right side
    81.82x = 6,792.07
  5. Step 5: Solve for x
    x = 6,792.07/81.82
  6. Step 6: Final answer
    x = 83.01

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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.