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Finding the Fourth Proportional to 78.74, 118.76 and 77.95

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Solution

The fourth proportional to 78.74, 118.76 and 77.95 is: 117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.74 : 118.76 = 77.95 : x
  2. Step 2: Convert to fraction form
    78.74/118.76 = 77.95/x
  3. Step 3: Cross multiply
    78.74x = 118.76 × 77.95
  4. Step 4: Simplify right side
    78.74x = 9,257.24
  5. Step 5: Solve for x
    x = 9,257.24/78.74
  6. Step 6: Final answer
    x = 117.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.