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Finding the Fourth Proportional to 66.75, 99.76 and 57.18

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Solution

The fourth proportional to 66.75, 99.76 and 57.18 is: 85.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 99.76 = 57.18 : x
  2. Step 2: Convert to fraction form
    66.75/99.76 = 57.18/x
  3. Step 3: Cross multiply
    66.75x = 99.76 × 57.18
  4. Step 4: Simplify right side
    66.75x = 5,704.28
  5. Step 5: Solve for x
    x = 5,704.28/66.75
  6. Step 6: Final answer
    x = 85.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.