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Finding the Fourth Proportional to 66.23, 91.46 and 51.65

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Solution

The fourth proportional to 66.23, 91.46 and 51.65 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 91.46 = 51.65 : x
  2. Step 2: Convert to fraction form
    66.23/91.46 = 51.65/x
  3. Step 3: Cross multiply
    66.23x = 91.46 × 51.65
  4. Step 4: Simplify right side
    66.23x = 4,723.81
  5. Step 5: Solve for x
    x = 4,723.81/66.23
  6. Step 6: Final answer
    x = 71.33

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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.