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Finding the Fourth Proportional to 78.51, 117.76 and 27.14

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Solution

The fourth proportional to 78.51, 117.76 and 27.14 is: 40.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.51 : 117.76 = 27.14 : x
  2. Step 2: Convert to fraction form
    78.51/117.76 = 27.14/x
  3. Step 3: Cross multiply
    78.51x = 117.76 × 27.14
  4. Step 4: Simplify right side
    78.51x = 3,196.01
  5. Step 5: Solve for x
    x = 3,196.01/78.51
  6. Step 6: Final answer
    x = 40.71

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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.