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Finding the Fourth Proportional to 66.84, 100.85 and 63.77

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Solution

The fourth proportional to 66.84, 100.85 and 63.77 is: 96.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 100.85 = 63.77 : x
  2. Step 2: Convert to fraction form
    66.84/100.85 = 63.77/x
  3. Step 3: Cross multiply
    66.84x = 100.85 × 63.77
  4. Step 4: Simplify right side
    66.84x = 6,430.95
  5. Step 5: Solve for x
    x = 6,430.95/66.84
  6. Step 6: Final answer
    x = 96.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.