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Finding the Fourth Proportional to 78.44, 108.30 and 55.14

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Solution

The fourth proportional to 78.44, 108.30 and 55.14 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.44 : 108.30 = 55.14 : x
  2. Step 2: Convert to fraction form
    78.44/108.30 = 55.14/x
  3. Step 3: Cross multiply
    78.44x = 108.30 × 55.14
  4. Step 4: Simplify right side
    78.44x = 5,971.66
  5. Step 5: Solve for x
    x = 5,971.66/78.44
  6. Step 6: Final answer
    x = 76.13

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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.