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Finding the Fourth Proportional to 78.97, 109.01 and 55.66

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Solution

The fourth proportional to 78.97, 109.01 and 55.66 is: 76.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.97 : 109.01 = 55.66 : x
  2. Step 2: Convert to fraction form
    78.97/109.01 = 55.66/x
  3. Step 3: Cross multiply
    78.97x = 109.01 × 55.66
  4. Step 4: Simplify right side
    78.97x = 6,066.67
  5. Step 5: Solve for x
    x = 6,066.67/78.97
  6. Step 6: Final answer
    x = 76.83

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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.