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Finding the Fourth Proportional to 78.12, 116.91 and 66.06

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Solution

The fourth proportional to 78.12, 116.91 and 66.06 is: 98.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.12 : 116.91 = 66.06 : x
  2. Step 2: Convert to fraction form
    78.12/116.91 = 66.06/x
  3. Step 3: Cross multiply
    78.12x = 116.91 × 66.06
  4. Step 4: Simplify right side
    78.12x = 7,723.07
  5. Step 5: Solve for x
    x = 7,723.07/78.12
  6. Step 6: Final answer
    x = 98.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.