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Finding the Fourth Proportional to 66.17, 90.92 and 55.80

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Solution

The fourth proportional to 66.17, 90.92 and 55.80 is: 76.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.17 : 90.92 = 55.80 : x
  2. Step 2: Convert to fraction form
    66.17/90.92 = 55.80/x
  3. Step 3: Cross multiply
    66.17x = 90.92 × 55.80
  4. Step 4: Simplify right side
    66.17x = 5,073.48
  5. Step 5: Solve for x
    x = 5,073.48/66.17
  6. Step 6: Final answer
    x = 76.67

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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.