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Finding the Fourth Proportional to 66.83, 92.14 and 55.72

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Solution

The fourth proportional to 66.83, 92.14 and 55.72 is: 76.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.83 : 92.14 = 55.72 : x
  2. Step 2: Convert to fraction form
    66.83/92.14 = 55.72/x
  3. Step 3: Cross multiply
    66.83x = 92.14 × 55.72
  4. Step 4: Simplify right side
    66.83x = 5,134.04
  5. Step 5: Solve for x
    x = 5,134.04/66.83
  6. Step 6: Final answer
    x = 76.82

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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.