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Finding the Fourth Proportional to 66.84, 91.82 and 65.94

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Solution

The fourth proportional to 66.84, 91.82 and 65.94 is: 90.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 91.82 = 65.94 : x
  2. Step 2: Convert to fraction form
    66.84/91.82 = 65.94/x
  3. Step 3: Cross multiply
    66.84x = 91.82 × 65.94
  4. Step 4: Simplify right side
    66.84x = 6,054.28
  5. Step 5: Solve for x
    x = 6,054.28/66.84
  6. Step 6: Final answer
    x = 90.58

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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.