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Finding the Fourth Proportional to 66, 91.12 and 57.84

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Solution

The fourth proportional to 66, 91.12 and 57.84 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66 : 91.12 = 57.84 : x
  2. Step 2: Convert to fraction form
    66/91.12 = 57.84/x
  3. Step 3: Cross multiply
    66x = 91.12 × 57.84
  4. Step 4: Simplify right side
    66x = 5,270.38
  5. Step 5: Solve for x
    x = 5,270.38/66
  6. Step 6: Final answer
    x = 79.85

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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.