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Finding the Fourth Proportional to 66.65, 92.12 and 57.38

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Solution

The fourth proportional to 66.65, 92.12 and 57.38 is: 79.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.65 : 92.12 = 57.38 : x
  2. Step 2: Convert to fraction form
    66.65/92.12 = 57.38/x
  3. Step 3: Cross multiply
    66.65x = 92.12 × 57.38
  4. Step 4: Simplify right side
    66.65x = 5,285.10
  5. Step 5: Solve for x
    x = 5,285.10/66.65
  6. Step 6: Final answer
    x = 79.30

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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.