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Finding the Fourth Proportional to 78.37, 107.91 and 66.06

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Solution

The fourth proportional to 78.37, 107.91 and 66.06 is: 90.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 107.91 = 66.06 : x
  2. Step 2: Convert to fraction form
    78.37/107.91 = 66.06/x
  3. Step 3: Cross multiply
    78.37x = 107.91 × 66.06
  4. Step 4: Simplify right side
    78.37x = 7,128.53
  5. Step 5: Solve for x
    x = 7,128.53/78.37
  6. Step 6: Final answer
    x = 90.96

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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.