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Finding the Fourth Proportional to 66.88, 91.73 and 61.84

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Solution

The fourth proportional to 66.88, 91.73 and 61.84 is: 84.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.88 : 91.73 = 61.84 : x
  2. Step 2: Convert to fraction form
    66.88/91.73 = 61.84/x
  3. Step 3: Cross multiply
    66.88x = 91.73 × 61.84
  4. Step 4: Simplify right side
    66.88x = 5,672.58
  5. Step 5: Solve for x
    x = 5,672.58/66.88
  6. Step 6: Final answer
    x = 84.82

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