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Finding the Fourth Proportional to 82.99, 114.09 and 70.64

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Solution

The fourth proportional to 82.99, 114.09 and 70.64 is: 97.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.99 : 114.09 = 70.64 : x
  2. Step 2: Convert to fraction form
    82.99/114.09 = 70.64/x
  3. Step 3: Cross multiply
    82.99x = 114.09 × 70.64
  4. Step 4: Simplify right side
    82.99x = 8,059.31
  5. Step 5: Solve for x
    x = 8,059.31/82.99
  6. Step 6: Final answer
    x = 97.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.