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Finding the Fourth Proportional to 78.16, 107.86 and 43.66

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Solution

The fourth proportional to 78.16, 107.86 and 43.66 is: 60.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.16 : 107.86 = 43.66 : x
  2. Step 2: Convert to fraction form
    78.16/107.86 = 43.66/x
  3. Step 3: Cross multiply
    78.16x = 107.86 × 43.66
  4. Step 4: Simplify right side
    78.16x = 4,709.17
  5. Step 5: Solve for x
    x = 4,709.17/78.16
  6. Step 6: Final answer
    x = 60.25

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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.