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Finding the Fourth Proportional to 78.82, 117.40 and 73.82

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Solution

The fourth proportional to 78.82, 117.40 and 73.82 is: 109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 117.40 = 73.82 : x
  2. Step 2: Convert to fraction form
    78.82/117.40 = 73.82/x
  3. Step 3: Cross multiply
    78.82x = 117.40 × 73.82
  4. Step 4: Simplify right side
    78.82x = 8,666.47
  5. Step 5: Solve for x
    x = 8,666.47/78.82
  6. Step 6: Final answer
    x = 109.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.