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Finding the Fourth Proportional to 82.96, 114.59 and 66.65

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Solution

The fourth proportional to 82.96, 114.59 and 66.65 is: 92.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 114.59 = 66.65 : x
  2. Step 2: Convert to fraction form
    82.96/114.59 = 66.65/x
  3. Step 3: Cross multiply
    82.96x = 114.59 × 66.65
  4. Step 4: Simplify right side
    82.96x = 7,637.02
  5. Step 5: Solve for x
    x = 7,637.02/82.96
  6. Step 6: Final answer
    x = 92.06

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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.