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Finding the Fourth Proportional to 66.96, 93.06 and 66.24

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Solution

The fourth proportional to 66.96, 93.06 and 66.24 is: 92.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 93.06 = 66.24 : x
  2. Step 2: Convert to fraction form
    66.96/93.06 = 66.24/x
  3. Step 3: Cross multiply
    66.96x = 93.06 × 66.24
  4. Step 4: Simplify right side
    66.96x = 6,164.29
  5. Step 5: Solve for x
    x = 6,164.29/66.96
  6. Step 6: Final answer
    x = 92.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.