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Finding the Fourth Proportional to 66.25, 91.25 and 51.67

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Solution

The fourth proportional to 66.25, 91.25 and 51.67 is: 71.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.25 : 91.25 = 51.67 : x
  2. Step 2: Convert to fraction form
    66.25/91.25 = 51.67/x
  3. Step 3: Cross multiply
    66.25x = 91.25 × 51.67
  4. Step 4: Simplify right side
    66.25x = 4,714.43
  5. Step 5: Solve for x
    x = 4,714.43/66.25
  6. Step 6: Final answer
    x = 71.17

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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.