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Finding the Fourth Proportional to 66.70, 91.84 and 55.00

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Solution

The fourth proportional to 66.70, 91.84 and 55.00 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.70 : 91.84 = 55.00 : x
  2. Step 2: Convert to fraction form
    66.70/91.84 = 55.00/x
  3. Step 3: Cross multiply
    66.70x = 91.84 × 55.00
  4. Step 4: Simplify right side
    66.70x = 5,050.47
  5. Step 5: Solve for x
    x = 5,050.47/66.70
  6. Step 6: Final answer
    x = 75.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.